Details

analyze674.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	78×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify509.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

848×	`exp-prod_binary64_17180`
604×	`unsub-neg_binary64_17122`
433×	`cube-prod_binary64_17156`
329×	`exp-sum_binary64_17174`
307×	`distribute-rgt-in_binary64_17078`
240×	`swap-sqr_binary64_17095`
231×	`sub-neg_binary64_17121`
181×	`distribute-neg-out_binary64_17090`
178×	`associate-+l-_binary64_17063`
145×	`associate--r-_binary64_17067`
136×	`distribute-lft-in_binary64_17077`
133×	`distribute-rgt1-in_binary64_17084`
114×	`+-commutative_binary64_17058`
113×	`exp-diff_binary64_17176`
112×	`associate-+l+_binary64_17061`
108×	`associate-+r+_binary64_17060`
107×	`distribute-rgt-neg-out_binary64_17088`
104×	`pow-plus_binary64_17191`
101×	`distribute-rgt-neg-in_binary64_17086`
96×	`*-commutative_binary64_17059`
95×	`associate-r_binary64_17068`
83×	`distribute-lft-neg-out_binary64_17087`
77×	`distribute-neg-in_binary64_17089` `distribute-rgt-out_binary64_17081`
74×	`associate-l_binary64_17069`
73×	`neg-sub0_binary64_17123`
65×	`exp-neg_binary64_17175`
64×	`distribute-lft-neg-in_binary64_17085`
58×	`neg-mul-1_binary64_17124`
53×	`sub0-neg_binary64_17115`
48×	`associate--l+_binary64_17065`
47×	`cancel-sign-sub-inv_binary64_17094`
46×	`associate-+r-_binary64_17062`
38×	`associate--r+_binary64_17064`
22×	`remove-double-neg_binary64_17116`
19×	`sqr-pow_binary64_17100`
18×	`+-rgt-identity_binary64_17113`
14×	`sqr-neg_binary64_17142`
13×	`exp-lft-sqr_binary64_17183`
12×	`distribute-lft-out_binary64_17079`
9×	`pow-base-1_binary64_17188` `pow-sqr_binary64_17101` `count-2_binary64_17076`
8×	`associate--l-_binary64_17066`
7×	`mul0-rgt_binary64_17111`
6×	`mul0-lft_binary64_17110` `distribute-rgt-out--_binary64_17082`
4×	`+-lft-identity_binary64_17112` `distribute-lft1-in_binary64_17083`
3×	`mul-1-neg_binary64_17120`
2×	`cube-unmult_binary64_17165`
1×	`1-exp_binary64_17172` `exp-1-e_binary64_17171` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `--rgt-identity_binary64_17114` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `associate-*l/_binary64_17071`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `times-frac_binary64_17134` `div-sub_binary64_17133` `/-rgt-identity_binary64_17119` `div0_binary64_17109` `-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-lft-out--_binary64_17080` `associate-/l/_binary64_17075` `associate-/r/_binary64_17074` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `associate-r/_binary64_17070`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	101	13
4	294	13
5	593	13
6	1464	13
7	2895	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
0.0b	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_17150`
12×	`*-un-lft-identity_binary64_17128` `cancel-sign-sub-inv_binary64_17094`
8×	`add-cube-cbrt_binary64_17163` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-+r+_binary64_17060`
6×	`flip3--_binary64_17132` `flip--_binary64_17103`
5×	`associate-l_binary64_17069` `associate-r_binary64_17068`
4×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `frac-times_binary64_17138` `sub-neg_binary64_17121`
2×	`associate-l/_binary64_17071` `associate-r/_binary64_17070` `difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
1×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `+-commutative_binary64_17058`

Counts

2 → 57

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 1056 to 258 computations (75.6% saved)

series743.0ms (5.4%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

423.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
288.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify420.0ms (3%)

Algorithm

1×	egg-herbie

Rules

372×	`associate-+l+_binary64_17061`
348×	`associate-+r+_binary64_17060`
320×	`unsub-neg_binary64_17122`
301×	`*-commutative_binary64_17059`
208×	`sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094`
207×	`distribute-rgt-neg-out_binary64_17088`
205×	`associate-+l-_binary64_17063`
203×	`distribute-lft-neg-out_binary64_17087`
184×	`neg-sub0_binary64_17123`
182×	`distribute-rgt-neg-in_binary64_17086`
173×	`neg-mul-1_binary64_17124`
154×	`associate--r+_binary64_17064`
143×	`+-commutative_binary64_17058`
139×	`distribute-lft-neg-in_binary64_17085`
128×	`associate--l+_binary64_17065`
119×	`associate-+r-_binary64_17062`
115×	`distribute-rgt-in_binary64_17078`
105×	`distribute-lft-in_binary64_17077`
100×	`associate-l_binary64_17069`
98×	`distribute-neg-in_binary64_17089`
93×	`exp-prod_binary64_17180`
89×	`associate-r_binary64_17068`
79×	`exp-sum_binary64_17174` `distribute-rgt-out_binary64_17081`
68×	`sqr-pow_binary64_17100`
63×	`exp-diff_binary64_17176`
61×	`associate--r-_binary64_17067`
44×	`unswap-sqr_binary64_17096`
39×	`pow-sqr_binary64_17101`
36×	`*-lft-identity_binary64_17117`
30×	`difference-of-squares_binary64_17097`
29×	`+-rgt-identity_binary64_17113` `associate--l-_binary64_17066`
28×	`*-rgt-identity_binary64_17118` `remove-double-neg_binary64_17116`
27×	`cube-prod_binary64_17156` `distribute-rgt-out--_binary64_17082`
20×	`associate-/l*_binary64_17073`
18×	`log-prod_binary64_17214`
17×	`exp-neg_binary64_17175`
15×	`sub0-neg_binary64_17115` `swap-sqr_binary64_17095` `distribute-neg-out_binary64_17090`
10×	`unpow3_binary64_17194` `distribute-lft-out_binary64_17079`
9×	`mul-1-neg_binary64_17120`
8×	`div-sub_binary64_17133`
6×	`cube-mult_binary64_17158`
5×	`cube-neg_binary64_17155` `sqr-neg_binary64_17142` `distribute-lft-out--_binary64_17080` `associate-/l/_binary64_17075`
4×	`associate-*r/_binary64_17070`
3×	`cube-unmult_binary64_17165` `cancel-sign-sub_binary64_17093` `distribute-rgt1-in_binary64_17084`
2×	`pow-base-1_binary64_17188` `prod-exp_binary64_17177` `distribute-frac-neg_binary64_17091` `associate-*l/_binary64_17071`
1×	`log-pow_binary64_17217` `pow-plus_binary64_17191` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-log-exp_binary64_17169` `rem-3cbrt-lft_binary64_17153` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-rec_binary64_17216` `log-div_binary64_17215` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-exp-log_binary64_17168` `cube-div_binary64_17157` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `times-frac_binary64_17134` `/-rgt-identity_binary64_17119` `--rgt-identity_binary64_17114` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `distribute-neg-frac_binary64_17092` `associate-/r/_binary64_17074` `associate-/r_binary64_17072`

Counts

105 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1771
1	423	1657
2	1388	1382
3	2492	1382

prune156.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	202	4	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	5	207

Error

Counts

207 → 5

Compiler

Compiled 3273 to 434 computations (86.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x z) (.f64 t y))
0.0b	(+.f64 x (-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z))))
0.0b	(+.f64 (.f64 x y) (.f64 t z))
0.1b	(-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z)))

rewrite114.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-log-exp_binary64_17167`
15×	`sum-log_binary64_17219`
13×	`*-un-lft-identity_binary64_17128`
8×	`diff-log_binary64_17220` `add-sqr-sqrt_binary64_17150`
7×	`flip3-+_binary64_17131` `flip-+_binary64_17102`
6×	`add-cube-cbrt_binary64_17163` `cancel-sign-sub-inv_binary64_17094`
5×	`associate-+r+_binary64_17060`
4×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `frac-sub_binary64_17137`
3×	`+-commutative_binary64_17058`
2×	`sub-neg_binary64_17121` `distribute-lft-out--_binary64_17080` `associate--l+_binary64_17065` `distribute-lft-out_binary64_17079`
1×	`flip3--_binary64_17132` `flip--_binary64_17103` `difference-of-squares_binary64_17097` `associate--r+_binary64_17064` `associate-+r-_binary64_17062`

Counts

4 → 70

Calls

4 calls:

11.0ms	(+.f64 x (-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z))))
10.0ms	(-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z)))
4.0ms	(+.f64 (.f64 x y) (.f64 t z))
4.0ms	(+.f64 (.f64 x z) (.f64 t y))

Compiler

Compiled 2207 to 304 computations (86.2% saved)

series1.3s (9.5%)

Error

Counts

4 → 96

Calls

4 calls:

453.0ms	(+.f64 x (-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z))))
405.0ms	(-.f64 (+.f64 (.f64 x z) (.f64 t y)) (+.f64 (.f64 x y) (.f64 t z)))
216.0ms	(+.f64 (.f64 x y) (.f64 t z))
198.0ms	(+.f64 (.f64 x z) (.f64 t y))

Compiler

Compiled 3444 to 1661 computations (51.8% saved)

simplify318.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-+l+_binary64_17061`
318×	`associate-+r+_binary64_17060`
251×	`cancel-sign-sub-inv_binary64_17094`
195×	`distribute-rgt-neg-in_binary64_17086`
162×	`distribute-rgt-in_binary64_17078`
157×	`distribute-lft-neg-in_binary64_17085`
150×	`associate-l_binary64_17069`
147×	`associate--r+_binary64_17064`
146×	`associate--l+_binary64_17065`
145×	`distribute-lft-in_binary64_17077`
142×	`associate-r_binary64_17068`
128×	`sub-neg_binary64_17121`
123×	`distribute-lft-neg-out_binary64_17087`
104×	`distribute-neg-in_binary64_17089`
90×	`*-commutative_binary64_17059`
86×	`distribute-rgt-out_binary64_17081`
84×	`distribute-rgt-neg-out_binary64_17088` `associate-+l-_binary64_17063`
71×	`neg-sub0_binary64_17123`
68×	`associate-+r-_binary64_17062`
67×	`+-commutative_binary64_17058`
63×	`unsub-neg_binary64_17122`
62×	`neg-mul-1_binary64_17124`
51×	`sqr-pow_binary64_17100`
48×	`exp-sum_binary64_17174`
44×	`times-frac_binary64_17134`
40×	`associate-/l*_binary64_17073`
39×	`distribute-rgt-out--_binary64_17082`
29×	`distribute-lft-out_binary64_17079`
28×	`exp-prod_binary64_17180` `unswap-sqr_binary64_17096` `associate-/r*_binary64_17072`
23×	`pow-sqr_binary64_17101`
19×	`div-exp_binary64_17179`
15×	`prod-exp_binary64_17177` `exp-diff_binary64_17176`
14×	`associate-*r/_binary64_17070`
13×	`cube-prod_binary64_17156` `associate-*l/_binary64_17071` `associate--r-_binary64_17067`
12×	`swap-sqr_binary64_17095` `distribute-lft-out--_binary64_17080` `associate--l-_binary64_17066`
11×	`unpow3_binary64_17194` `cube-mult_binary64_17158`
9×	`mul-1-neg_binary64_17120`
6×	`difference-of-squares_binary64_17097` `associate-/r/_binary64_17074`
5×	`log-prod_binary64_17214`
4×	`+-rgt-identity_binary64_17113`
3×	`-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `distribute-rgt1-in_binary64_17084` `associate-/l/_binary64_17075`
2×	`cube-unmult_binary64_17165` `remove-double-neg_binary64_17116`
1×	`pow-plus_binary64_17191` `1-exp_binary64_17172` `rem-3cbrt-lft_binary64_17153` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `rec-exp_binary64_17178` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-div_binary64_17157` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `div-sub_binary64_17133` `/-rgt-identity_binary64_17119` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `*-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076`

Counts

166 → 350

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3045
1	544	2995
2	2077	2760

prune381.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	350	5	355

Error

Counts

355 → 5

Compiler

Compiled 11996 to 1274 computations (89.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.6b	(-.f64 (.f64 y y) (.f64 z z))
6.6b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
23.4b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite133.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_17128`
13×	`flip3--_binary64_17132` `flip--_binary64_17103`
12×	`add-sqr-sqrt_binary64_17150`
11×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
8×	`add-log-exp_binary64_17167` `add-cube-cbrt_binary64_17163` `frac-times_binary64_17138` `associate-/l/_binary64_17075`
6×	`pow1_binary64_17189`
5×	`associate-l_binary64_17069`
4×	`times-frac_binary64_17134` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `associate-/r_binary64_17072` `associate-r*_binary64_17068`
3×	`distribute-lft-out_binary64_17079` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094` `difference-of-squares_binary64_17097`
2×	`prod-exp_binary64_17177` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `flip3-+_binary64_17131` `associate-/r/_binary64_17074` `flip-+_binary64_17102` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l_binary64_17073` `pow-prod-down_binary64_17199` `unswap-sqr_binary64_17096` `distribute-lft-out--_binary64_17080` `-commutative_binary64_17059` `diff-log_binary64_17220` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 91

Calls

4 calls:

13.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
10.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
8.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 2700 to 473 computations (82.5% saved)

series2.8s (20.1%)

Error

Counts

4 → 84

Calls

4 calls:

1.4s	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
682.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
486.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
141.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 4570 to 2851 computations (37.6% saved)

simplify626.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

448×	`associate-/r/_binary64_17074`
362×	`associate-/l/_binary64_17075`
274×	`associate-/r*_binary64_17072`
197×	`distribute-rgt-in_binary64_17078`
180×	`distribute-lft-in_binary64_17077`
177×	`associate-l_binary64_17069`
167×	`associate-r_binary64_17068`
145×	`div-sub_binary64_17133` `cancel-sign-sub-inv_binary64_17094`
142×	`sub-neg_binary64_17121`
113×	`*-commutative_binary64_17059`
99×	`associate-/l*_binary64_17073`
87×	`distribute-rgt-neg-in_binary64_17086`
69×	`distribute-lft-neg-in_binary64_17085`
68×	`+-commutative_binary64_17058`
67×	`distribute-lft-neg-out_binary64_17087`
62×	`sqr-pow_binary64_17100`
61×	`distribute-neg-frac_binary64_17092`
54×	`neg-sub0_binary64_17123`
52×	`distribute-rgt-neg-out_binary64_17088`
51×	`associate--l+_binary64_17065`
46×	`unswap-sqr_binary64_17096` `associate-*l/_binary64_17071`
44×	`neg-mul-1_binary64_17124`
43×	`times-frac_binary64_17134`
36×	`distribute-neg-in_binary64_17089`
34×	`cube-div_binary64_17157`
33×	`log-div_binary64_17215`
31×	`exp-prod_binary64_17180` `pow-sqr_binary64_17101` `associate-*r/_binary64_17070`
29×	`*-rgt-identity_binary64_17118`
24×	`unsub-neg_binary64_17122`
22×	`cube-prod_binary64_17156` `associate--r+_binary64_17064`
21×	`log-prod_binary64_17214` `distribute-rgt-out_binary64_17081`
20×	`*-lft-identity_binary64_17117`
19×	`associate-+l+_binary64_17061`
18×	`pow-plus_binary64_17191` `difference-of-squares_binary64_17097`
14×	`unpow3_binary64_17194` `/-rgt-identity_binary64_17119`
13×	`exp-sum_binary64_17174` `mul-1-neg_binary64_17120`
12×	`swap-sqr_binary64_17095`
11×	`distribute-rgt-out--_binary64_17082`
10×	`cube-mult_binary64_17158`
8×	`exp-diff_binary64_17176` `associate-+r+_binary64_17060`
6×	`associate--r-_binary64_17067`
5×	`cube-unmult_binary64_17165`
4×	`log-rec_binary64_17216` `*-inverses_binary64_17108` `associate-+r-_binary64_17062`
3×	`+-rgt-identity_binary64_17113`
2×	`unpow2_binary64_17193` `unpow1_binary64_17186` `div-exp_binary64_17179` `prod-exp_binary64_17177` `remove-double-neg_binary64_17116` `distribute-rgt1-in_binary64_17084` `distribute-lft-out_binary64_17079`
1×	`pow-base-1_binary64_17188` `exp-sqrt_binary64_17181` `rec-exp_binary64_17178` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-log-exp_binary64_17169` `rgt-mult-inverse_binary64_17105` `distribute-lft-out--_binary64_17080` `associate-+l-_binary64_17063`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076` `associate--l-_binary64_17066`

Counts

175 → 541

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4384
1	667	4204
2	2732	3368

prune494.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	540	1	541
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	541	5	546

Error

Counts

546 → 5

Compiler

Compiled 14606 to 1833 computations (87.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (+.f64 y z))
0.0b	(+.f64 x (.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z))))
25.3b	(.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))

rewrite217.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`*-un-lft-identity_binary64_17128`
50×	`add-sqr-sqrt_binary64_17150`
40×	`times-frac_binary64_17134`
32×	`add-cube-cbrt_binary64_17163` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
26×	`associate-l_binary64_17069`
24×	`cancel-sign-sub-inv_binary64_17094`
17×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
16×	`frac-times_binary64_17138` `associate-+r+_binary64_17060`
12×	`associate-*r/_binary64_17070`
11×	`distribute-lft-out_binary64_17079`
9×	`flip3-+_binary64_17131` `flip-+_binary64_17102` `difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
8×	`pow1_binary64_17189` `sub-neg_binary64_17121`
7×	`flip3--_binary64_17132` `flip--_binary64_17103`
6×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
5×	`add-log-exp_binary64_17167` `associate-l/_binary64_17071` `associate-/l_binary64_17073`
4×	`associate-/r/_binary64_17074` `associate-/r*_binary64_17072`
3×	`pow-prod-down_binary64_17199` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
2×	`div-inv_binary64_17125` `associate-/l/_binary64_17075`
1×	`associate-r_binary64_17068` `*-commutative_binary64_17059` `sum-log_binary64_17219` `+-commutative_binary64_17058` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127`

Counts

3 → 151

Calls

3 calls:

25.0ms	(.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))
8.0ms	(/.f64 (-.f64 t x) (+.f64 y z))
6.0ms	(+.f64 x (.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z))))

Compiler

Compiled 4805 to 1038 computations (78.4% saved)

series1.2s (8.4%)

Error

Counts

3 → 81

Calls

3 calls:

417.0ms	(+.f64 x (.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z))))
366.0ms	(/.f64 (-.f64 t x) (+.f64 y z))
303.0ms	(.f64 (/.f64 (-.f64 t x) (+.f64 y z)) (.f64 (+.f64 y z) (-.f64 y z)))

Compiler

Compiled 4417 to 2530 computations (42.7% saved)

simplify1.2s (8.7%)

Algorithm

1×	egg-herbie

Rules

389×	`distribute-rgt-in_binary64_17078`
370×	`distribute-lft-in_binary64_17077`
280×	`associate-r_binary64_17068`
263×	`associate-l_binary64_17069`
223×	`cancel-sign-sub-inv_binary64_17094`
193×	`*-commutative_binary64_17059`
191×	`sub-neg_binary64_17121`
135×	`distribute-neg-in_binary64_17089`
106×	`associate-*l/_binary64_17071`
97×	`associate-/l*_binary64_17073`
88×	`+-commutative_binary64_17058`
87×	`neg-sub0_binary64_17123`
74×	`neg-mul-1_binary64_17124`
72×	`div-sub_binary64_17133`
69×	`times-frac_binary64_17134`
63×	`distribute-neg-frac_binary64_17092`
58×	`associate--l+_binary64_17065`
50×	`unsub-neg_binary64_17122` `associate-*r/_binary64_17070` `associate-+l+_binary64_17061`
48×	`associate-/r*_binary64_17072` `associate--r+_binary64_17064`
41×	`sqr-pow_binary64_17100`
33×	`distribute-rgt-neg-in_binary64_17086`
32×	`associate-/l/_binary64_17075` `associate-+r+_binary64_17060`
25×	`log-prod_binary64_17214` `unswap-sqr_binary64_17096`
24×	`cube-prod_binary64_17156` `associate-/r/_binary64_17074`
22×	`exp-sum_binary64_17174`
21×	`swap-sqr_binary64_17095` `distribute-lft-neg-out_binary64_17087`
20×	`distribute-lft-neg-in_binary64_17085`
18×	`exp-prod_binary64_17180` `pow-sqr_binary64_17101`
14×	`log-div_binary64_17215` `*-rgt-identity_binary64_17118` `distribute-rgt-neg-out_binary64_17088`
12×	`cube-div_binary64_17157`
10×	`prod-exp_binary64_17177` `*-lft-identity_binary64_17117`
9×	`div-exp_binary64_17179` `difference-of-squares_binary64_17097`
8×	`unpow3_binary64_17194` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `distribute-frac-neg_binary64_17091`
7×	`cube-unmult_binary64_17165`
6×	`pow-plus_binary64_17191` `cube-mult_binary64_17158` `distribute-rgt-out--_binary64_17082`
5×	`associate-+r-_binary64_17062`
4×	`associate-+l-_binary64_17063`
3×	`rec-exp_binary64_17178` `exp-diff_binary64_17176` `remove-double-neg_binary64_17116`
2×	`unpow2_binary64_17193` `unpow1_binary64_17186` `+-rgt-identity_binary64_17113` `distribute-rgt-out_binary64_17081`
1×	`log-rec_binary64_17216` `1-exp_binary64_17172` `rem-log-exp_binary64_17169` `rem-3cbrt-lft_binary64_17153` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `*-inverses_binary64_17108` `lft-mult-inverse_binary64_17106` `cancel-sign-sub_binary64_17093` `distribute-rgt1-in_binary64_17084` `distribute-lft-out--_binary64_17080` `associate--r-_binary64_17067`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow1/2_binary64_17192` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `distribute-neg-out_binary64_17090` `distribute-lft1-in_binary64_17083` `distribute-lft-out_binary64_17079` `count-2_binary64_17076` `associate--l-_binary64_17066`

Counts

232 → 531

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	5260
1	975	4967
2	4196	4436

prune553.0ms (4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	531	0	531
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	531	5	536

Error

Counts

536 → 5

Compiler

Compiled 15158 to 2956 computations (80.5% saved)

regimes525.0ms (3.8%)

Accuracy

Total 0.0b remaining (92.1%)

Threshold costs 0.0b (92.1%)

Compiler

Compiled 4496 to 3514 computations (21.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_17058`
4×	`sub-neg_binary64_17121`
3×	`*-commutative_binary64_17059`
2×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `unpow1_binary64_17186` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `unsub-neg_binary64_17122` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-neg-in_binary64_17089` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	23	13
3	27	13
4	29	13

Proof

(+ f64 h0 (* f64 (- f64 h1 h2) (- f64 h3 h0)))

end0.0ms (0%)

sample1.4s (9.9%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
73.0ms	2646×	body	128	invalid

Compiler

Compiled 777 to 607 computations (21.9% saved)

Details

analyze674.0ms (4.9%)

sample22.0ms (0.2%)

simplify509.0ms (3.7%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite76.0ms (0.5%)

series743.0ms (5.4%)

simplify420.0ms (3%)

prune156.0ms (1.1%)

localize11.0ms (0.1%)

rewrite114.0ms (0.8%)

series1.3s (9.5%)

simplify318.0ms (2.3%)

prune381.0ms (2.7%)

localize12.0ms (0.1%)

rewrite133.0ms (1%)

series2.8s (20.1%)

simplify626.0ms (4.5%)

prune494.0ms (3.6%)

localize11.0ms (0.1%)

rewrite217.0ms (1.6%)

series1.2s (8.4%)

simplify1.2s (8.7%)

prune553.0ms (4%)

regimes525.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.4s (9.9%)

Profiling