Details

analyze1.0s (11.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

532×	`associate-l_binary64`
484×	`cancel-sign-sub-inv_binary64`
479×	`distribute-rgt-in_binary64`
427×	`associate-r_binary64`
418×	`neg-sub0_binary64`
386×	`neg-mul-1_binary64`
354×	`distribute-lft-in_binary64`
306×	`*-commutative_binary64`
264×	`unsub-neg_binary64`
208×	`sub-neg_binary64`
176×	`distribute-rgt-neg-out_binary64`
168×	`distribute-lft-neg-out_binary64`
152×	`unswap-sqr_binary64`
109×	`distribute-lft-neg-in_binary64`
100×	`distribute-rgt-neg-in_binary64`
80×	`sqr-pow_binary64`
64×	`distribute-rgt-out_binary64`
60×	`associate-+l-_binary64`
56×	`sub0-neg_binary64` `distribute-lft-out_binary64`
52×	`pow-sqr_binary64`
48×	`rem-sqrt-square_binary64` `associate--r+_binary64`
44×	`div-sub_binary64`
40×	`exp-prod_binary64`
35×	`distribute-rgt-out--_binary64`
34×	`+-rgt-identity_binary64`
28×	`distribute-lft-out--_binary64`
26×	`distribute-neg-in_binary64`
24×	`cube-unmult_binary64`
23×	`--rgt-identity_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64`
20×	`associate-/l*_binary64` `+-commutative_binary64`
18×	`mul-1-neg_binary64` `associate-+l+_binary64`
16×	`unpow3_binary64` `exp-diff_binary64` `associate-/l/_binary64`
12×	`exp-sqrt_binary64`
8×	`pow-plus_binary64` `exp-sum_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `associate-*r/_binary64`
6×	`associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
4×	`exp-lft-sqr_binary64` `prod-exp_binary64` `cube-prod_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `count-2_binary64` `associate-/r/_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	175
1	112	175
2	223	175
3	501	175
4	1027	175
5	2117	175
6	3840	175
7	4746	175
8	4942	175
0	4	4
1	4	4

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample58.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
10.0ms	173×	body	128	invalid
7.0ms	135×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify184.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

814×	`unswap-sqr_binary64`
767×	`cancel-sign-sub-inv_binary64`
435×	`times-frac_binary64`
375×	`*-commutative_binary64`
373×	`neg-sub0_binary64`
367×	`neg-mul-1_binary64`
354×	`exp-prod_binary64`
317×	`distribute-rgt-neg-out_binary64`
316×	`associate-l_binary64`
313×	`distribute-rgt-neg-in_binary64`
289×	`associate-/l/_binary64`
281×	`rem-sqrt-square_binary64`
267×	`sqr-pow_binary64`
260×	`distribute-lft-neg-in_binary64`
256×	`unsub-neg_binary64`
243×	`distribute-rgt-in_binary64`
216×	`distribute-lft-neg-out_binary64`
212×	`associate-r_binary64`
208×	`distribute-lft-in_binary64`
188×	`pow-sqr_binary64`
185×	`distribute-neg-in_binary64`
175×	`remove-double-neg_binary64`
162×	`prod-exp_binary64`
155×	`sub-neg_binary64`
101×	`cancel-sign-sub_binary64`
92×	`cube-prod_binary64`
91×	`distribute-rgt-out_binary64`
81×	`distribute-rgt-out--_binary64`
65×	`associate--r+_binary64`
38×	`unpow3_binary64` `pow-plus_binary64`
34×	`+-lft-identity_binary64` `associate-/l*_binary64`
32×	`cube-mult_binary64`
31×	`+-commutative_binary64`
28×	`distribute-lft-out_binary64`
25×	`distribute-neg-out_binary64` `associate-*l/_binary64` `associate-+l-_binary64`
22×	`mul0-rgt_binary64` `mul0-lft_binary64`
21×	`associate-*r/_binary64`
20×	`sub0-neg_binary64`
19×	`exp-lft-sqr_binary64` `*-lft-identity_binary64`
18×	`distribute-lft-out--_binary64` `associate-/r/_binary64`
16×	`unpow1_binary64` `exp-sqrt_binary64` `remove-double-div_binary64`
14×	`unpow1/2_binary64`
12×	`cube-unmult_binary64`
10×	`unpow2_binary64`
9×	`--rgt-identity_binary64`
7×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
6×	`mul-1-neg_binary64` `swap-sqr_binary64`
5×	`rem-square-sqrt_binary64` `count-2_binary64`
4×	`+-rgt-identity_binary64` `associate-/r*_binary64` `associate--l+_binary64`
3×	`associate-+l+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64` `associate-+r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	28	25
2	49	25
3	97	25
4	193	25
5	396	25
6	1054	25
7	1820	25
8	2881	25
9	4392	25
10	4981	25
11	4311	25
12	4496	25
13	3273	25
14	4672	25
15	4928	25
16	4864	25

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 49 to 46 computations (6.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite155.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
14×	`associate-r_binary64`
12×	`unpow-prod-down_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64` `sqrt-prod_binary64`
9×	`pow1_binary64`
8×	`sqrt-pow1_binary64`
6×	`associate-*l/_binary64` `pow-pow_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqr-pow_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `sqrt-pow2_binary64` `rem-sqrt-square_binary64`

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
12.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2012 to 1097 computations (45.5% saved)

series255.0ms (2.9%)

Error

0.2b

Counts

4 → 45

Calls

4 calls:

151.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
60.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
12.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
9.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2236 to 1785 computations (20.2% saved)

simplify161.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

305×	`associate-r_binary64`
304×	`associate-l_binary64`
256×	`distribute-rgt-in_binary64`
254×	`distribute-lft-in_binary64`
227×	`cancel-sign-sub-inv_binary64`
195×	`sub-neg_binary64`
182×	`distribute-rgt-neg-out_binary64`
163×	`*-commutative_binary64`
148×	`sqr-pow_binary64`
146×	`exp-prod_binary64`
107×	`unswap-sqr_binary64`
99×	`neg-sub0_binary64`
98×	`neg-mul-1_binary64`
97×	`distribute-rgt-neg-in_binary64`
83×	`unsub-neg_binary64`
81×	`distribute-lft-neg-in_binary64`
73×	`log-prod_binary64`
67×	`*-lft-identity_binary64`
65×	`+-commutative_binary64`
57×	`*-rgt-identity_binary64`
55×	`pow-sqr_binary64`
53×	`associate--l+_binary64`
49×	`associate--r+_binary64`
48×	`associate-+l+_binary64`
47×	`swap-sqr_binary64` `distribute-rgt-out_binary64`
46×	`cube-prod_binary64`
39×	`associate-+r+_binary64`
37×	`exp-sum_binary64`
30×	`distribute-lft-neg-out_binary64`
21×	`associate-+l-_binary64`
20×	`unpow3_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64` `associate-+r-_binary64`
18×	`+-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
17×	`log-pow_binary64` `distribute-lft-out--_binary64`
14×	`associate-*r/_binary64`
13×	`cube-unmult_binary64`
12×	`sub0-neg_binary64`
11×	`pow-plus_binary64`
8×	`unpow1/2_binary64`
7×	`cube-mult_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64`
6×	`difference-of-squares_binary64`
5×	`pow-base-1_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64`
4×	`exp-diff_binary64` `exp-neg_binary64`
3×	`sqr-neg_binary64` `div-sub_binary64` `cancel-sign-sub_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/r*_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `times-frac_binary64` `/-rgt-identity_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

137 → 103

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	2967
1	509	2712
2	1760	2440
3	3855	2433
4	4944	2431
5	5021	2431

prune92.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Error

0.0b

Counts

105 → 9

Compiler

Compiled 1553 to 969 computations (37.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)
0.0b	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)
0.0b	(.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t))
0.3b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 z 2)))

rewrite183.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`sqrt-prod_binary64`
27×	`unpow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `sqrt-pow1_binary64`
17×	`associate-r_binary64`
16×	`pow-pow_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`
6×	`associate-*l/_binary64` `pow-unpow_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `pow1/2_binary64`
3×	`sqr-pow_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64` `sqrt-pow2_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64`

Counts

4 → 115

Calls

4 calls:

14.0ms	(.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t))
10.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 z 2)))
5.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)
5.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)

Compiler

Compiled 3339 to 1425 computations (57.3% saved)

series287.0ms (3.3%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

175.0ms	(.f64 (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t))
64.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (*.f64 z 2)))
14.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)
12.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 t))) t)

Compiler

Compiled 2648 to 1957 computations (26.1% saved)

simplify139.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

287×	`cancel-sign-sub-inv_binary64`
285×	`associate-l_binary64`
281×	`associate-r_binary64`
257×	`distribute-lft-in_binary64`
253×	`distribute-rgt-in_binary64`
201×	`distribute-lft-neg-out_binary64`
186×	`distribute-rgt-neg-out_binary64`
167×	`sqr-pow_binary64`
148×	`*-commutative_binary64`
100×	`sub-neg_binary64`
87×	`distribute-rgt-neg-in_binary64`
86×	`unswap-sqr_binary64`
82×	`*-lft-identity_binary64`
79×	`neg-sub0_binary64`
77×	`neg-mul-1_binary64`
70×	`distribute-lft-neg-in_binary64`
69×	`*-rgt-identity_binary64`
68×	`exp-prod_binary64`
65×	`pow-sqr_binary64`
58×	`log-prod_binary64`
56×	`unsub-neg_binary64`
43×	`cube-prod_binary64` `swap-sqr_binary64`
33×	`exp-sum_binary64`
32×	`+-commutative_binary64`
29×	`associate-*r/_binary64`
27×	`associate-/l*_binary64`
19×	`distribute-rgt-out--_binary64` `associate-*l/_binary64`
18×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
16×	`associate-+r+_binary64`
15×	`associate-+l-_binary64`
14×	`associate-+r-_binary64`
13×	`+-rgt-identity_binary64` `associate-/l/_binary64`
11×	`log-pow_binary64` `unpow3_binary64` `sub0-neg_binary64`
9×	`cube-unmult_binary64` `distribute-lft-out--_binary64`
8×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
7×	`associate--l+_binary64`
6×	`unpow1/2_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
4×	`pow-base-1_binary64` `exp-diff_binary64` `exp-neg_binary64` `times-frac_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`sqr-neg_binary64` `div-sub_binary64`
2×	`unpow1_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `count-2_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

157 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	3433
1	484	3170
2	1609	2916
3	3436	2912
4	4987	2912

prune75.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Error

0.0b

Counts

111 → 9

Compiler

Compiled 1592 to 811 computations (49.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.3b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
0.4b	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))

rewrite147.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`sqrt-prod_binary64`
12×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`sqrt-pow1_binary64`
7×	`associate-l_binary64`
6×	`cancel-sign-sub-inv_binary64` `unpow-prod-down_binary64` `pow-pow_binary64` `exp-prod_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`pow-unpow_binary64`
2×	`flip3--_binary64` `associate-l/_binary64` `flip--_binary64` `-commutative_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `pow1/2_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `rem-sqrt-square_binary64`

Counts

4 → 97

Calls

4 calls:

10.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
9.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2090 to 1108 computations (47% saved)

series146.0ms (1.7%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

62.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
45.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
13.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
10.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 1626 to 1394 computations (14.3% saved)

simplify154.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

408×	`*-commutative_binary64`
270×	`exp-prod_binary64`
267×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
244×	`distribute-rgt-in_binary64`
243×	`distribute-lft-in_binary64`
234×	`associate-l_binary64`
188×	`associate-r_binary64`
155×	`unsub-neg_binary64`
146×	`sqr-pow_binary64`
109×	`cancel-sign-sub-inv_binary64`
85×	`associate-/l*_binary64`
84×	`associate-+r+_binary64`
79×	`unswap-sqr_binary64`
76×	`exp-sum_binary64` `associate-+l+_binary64`
62×	`log-prod_binary64`
59×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64` `pow-sqr_binary64` `distribute-rgt-neg-in_binary64`
54×	`exp-diff_binary64`
53×	`*-lft-identity_binary64`
49×	`sub-neg_binary64`
47×	`*-rgt-identity_binary64`
43×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
39×	`cube-prod_binary64`
35×	`associate-/l/_binary64`
31×	`associate-*r/_binary64`
30×	`log-pow_binary64`
29×	`exp-neg_binary64` `+-commutative_binary64`
18×	`distribute-rgt-out--_binary64`
17×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
16×	`pow-plus_binary64` `associate-/r_binary64` `associate-l/_binary64`
15×	`cube-unmult_binary64` `distribute-rgt-out_binary64`
14×	`associate-/r/_binary64`
13×	`unpow3_binary64` `associate-+r-_binary64`
10×	`div-sub_binary64`
9×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
8×	`difference-of-squares_binary64`
7×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64` `count-2_binary64`
6×	`cube-mult_binary64`
5×	`pow-base-1_binary64`
4×	`rem-square-sqrt_binary64`
2×	`unpow1_binary64` `times-frac_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

137 → 92

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	181	2114
1	421	1896
2	1205	1826
3	2470	1824
4	4609	1822
5	4981	1822
6	4914	1822

prune72.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Error

Counts

101 → 10

Compiler

Compiled 1185 to 727 computations (38.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.2b	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))

rewrite210.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`pow1_binary64`
33×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`associate-r_binary64`
10×	`associate-l_binary64`
9×	`sqrt-prod_binary64`
8×	`associate-*l/_binary64`
6×	`cbrt-prod_binary64` `unpow-prod-down_binary64` `pow-pow_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64`
3×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64` `pow-unpow_binary64` `exp-prod_binary64`
1×	`unswap-sqr_binary64` `pow1/2_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64`

Counts

4 → 105

Calls

4 calls:

22.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
16.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
12.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)

Compiler

Compiled 3267 to 2235 computations (31.6% saved)

series312.0ms (3.6%)

Error

Counts

4 → 47

Calls

4 calls:

125.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))
85.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
65.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (sqrt.f64 2)))
15.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)

Compiler

Compiled 2508 to 2269 computations (9.5% saved)

simplify173.0ms (2%)

Algorithm

1×	egg-herbie

Rules

334×	`distribute-lft-in_binary64`
333×	`distribute-rgt-in_binary64` `associate-l_binary64`
297×	`associate-r_binary64`
260×	`exp-prod_binary64`
188×	`sqr-pow_binary64`
162×	`*-commutative_binary64`
128×	`cancel-sign-sub-inv_binary64`
108×	`unswap-sqr_binary64`
92×	`log-prod_binary64`
69×	`exp-sum_binary64`
64×	`cube-prod_binary64`
62×	`neg-sub0_binary64`
59×	`neg-mul-1_binary64`
58×	`pow-sqr_binary64`
55×	`swap-sqr_binary64`
52×	`sub-neg_binary64`
50×	`associate-+l+_binary64`
45×	`distribute-rgt-neg-in_binary64`
41×	`unsub-neg_binary64`
37×	`associate-+r+_binary64`
35×	`+-commutative_binary64`
33×	`distribute-lft-neg-in_binary64`
29×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
28×	`unpow3_binary64` `*-rgt-identity_binary64`
22×	`associate-/l*_binary64`
21×	`log-pow_binary64`
17×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`cube-unmult_binary64` `cube-mult_binary64`
14×	`associate-*r/_binary64`
11×	`pow-plus_binary64`
10×	`rem-sqrt-square_binary64`
9×	`exp-diff_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
8×	`unpow1/2_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
7×	`div-sub_binary64` `associate-/l/_binary64`
6×	`difference-of-squares_binary64`
5×	`pow-base-1_binary64`
4×	`exp-neg_binary64` `distribute-lft-out_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
2×	`rem-square-sqrt_binary64` `associate-/r*_binary64`
1×	`unpow1/3_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

152 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	4059
1	509	2964
2	1645	2803
3	3906	2801
4	4878	2627
5	5030	2627

prune91.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	127	10	137

Error

Counts

137 → 10

Compiler

Compiled 1778 to 1164 computations (34.5% saved)

regimes2.6s (29.5%)

Accuracy

Total 0.3b remaining (93.9%)

Threshold costs 0.3b (93.9%)

Compiler

Compiled 36182 to 32587 computations (9.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
2	27	25
3	29	25
4	30	25
5	30	25

end1.0ms (0%)

Compiler: Compiled 16 to 15 computations (6.3% saved)

sample2.2s (24.8%)

Algorithm

1×

intervals

Results

472.0ms	8000×	body	128	valid
360.0ms	6191×	body	128	invalid
268.0ms	4566×	body	128	nan

Compiler

Compiled 292 to 275 computations (5.8% saved)

Details

analyze1.0s (11.6%)

sample58.0ms (0.7%)

simplify184.0ms (2.1%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite155.0ms (1.8%)

series255.0ms (2.9%)

simplify161.0ms (1.8%)

prune92.0ms (1.1%)

localize19.0ms (0.2%)

rewrite183.0ms (2.1%)

series287.0ms (3.3%)

simplify139.0ms (1.6%)

prune75.0ms (0.9%)

localize17.0ms (0.2%)

rewrite147.0ms (1.7%)

series146.0ms (1.7%)

simplify154.0ms (1.8%)

prune72.0ms (0.8%)

localize18.0ms (0.2%)

rewrite210.0ms (2.4%)

series312.0ms (3.6%)

simplify173.0ms (2%)

prune91.0ms (1%)

regimes2.6s (29.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.2s (24.8%)

Profiling