Details

analyze1.0s (14%)

Algorithm

1×	search
2×	egg-herbie

Rules

792×	`times-frac_binary64`
424×	`unswap-sqr_binary64`
303×	`div-sub_binary64`
200×	`sqr-pow_binary64`
193×	`associate-l_binary64`
172×	`associate-r_binary64`
155×	`associate-/l*_binary64`
142×	`sub-neg_binary64` `associate-/l/_binary64`
140×	`exp-diff_binary64`
135×	`exp-prod_binary64`
104×	`pow-sqr_binary64`
98×	`exp-sum_binary64`
97×	`*-commutative_binary64`
96×	`associate-/r/_binary64` `associate-/r*_binary64`
84×	`log-prod_binary64`
63×	`neg-mul-1_binary64`
62×	`distribute-rgt-in_binary64`
59×	`log-pow_binary64`
57×	`neg-sub0_binary64`
50×	`log-div_binary64`
48×	`associate-*r/_binary64`
44×	`pow-plus_binary64` `distribute-lft-in_binary64`
40×	`exp-to-pow_binary64`
32×	`unsub-neg_binary64`
29×	`+-commutative_binary64`
27×	`/-rgt-identity_binary64`
26×	`div-exp_binary64`
25×	`associate-*l/_binary64`
20×	`prod-exp_binary64` `cube-unmult_binary64` `associate--r+_binary64`
19×	`exp-neg_binary64` `sub0-neg_binary64`
18×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64`
16×	`unpow3_binary64`
15×	`associate-+r-_binary64`
14×	`exp-sqrt_binary64`
12×	`exp-lft-sqr_binary64`
11×	`rem-exp-log_binary64`
10×	`log-rec_binary64` `distribute-neg-in_binary64`
9×	`unpow-1_binary64` `distribute-neg-frac_binary64`
8×	`cube-prod_binary64` `associate--l+_binary64`
7×	`--rgt-identity_binary64`
6×	`+-rgt-identity_binary64`
4×	`unpow2_binary64` `rec-exp_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
3×	`*-lft-identity_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_binary64` `rem-log-exp_binary64` `+-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `-rgt-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	59	64
2	91	64
3	187	64
4	398	64
5	954	64
6	2326	64
7	4860	64
8	4805	64
9	5069	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample48.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	198×	body	128	valid
10.0ms	26×	body	1024	valid
5.0ms	21×	body	512	valid
2.0ms	11×	body	256	valid
2.0ms	33×	body	128	nan
1.0ms	6×	body	512	invalid
1.0ms	3×	body	1024	invalid
1.0ms	13×	body	128	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64`
270×	`div-sub_binary64`
256×	`associate-l_binary64`
244×	`distribute-rgt-in_binary64`
216×	`associate-r_binary64`
203×	`distribute-lft-in_binary64`
200×	`times-frac_binary64`
193×	`associate-/l*_binary64`
181×	`exp-prod_binary64`
153×	`associate-/l/_binary64`
130×	`exp-diff_binary64`
128×	`associate-/r*_binary64`
124×	`log-div_binary64`
118×	`associate-/r/_binary64`
100×	`distribute-frac-neg_binary64`
93×	`log-pow_binary64`
87×	`sqr-pow_binary64`
85×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64`
84×	`log-prod_binary64`
83×	`exp-sum_binary64`
65×	`*-commutative_binary64`
60×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
43×	`exp-to-pow_binary64` `neg-mul-1_binary64`
41×	`pow-sqr_binary64`
39×	`/-rgt-identity_binary64`
38×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
37×	`neg-sub0_binary64`
34×	`distribute-neg-in_binary64`
25×	`log-rec_binary64`
24×	`distribute-neg-frac_binary64`
22×	`associate-*l/_binary64`
21×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
20×	`distribute-neg-out_binary64`
18×	`pow-plus_binary64` `*-lft-identity_binary64`
17×	`associate--r+_binary64`
16×	`exp-sqrt_binary64` `distribute-lft-neg-in_binary64`
15×	`exp-lft-sqr_binary64`
14×	`associate--l+_binary64`
13×	`cancel-sign-sub_binary64`
12×	`unpow3_binary64` `div-exp_binary64` `exp-neg_binary64` `cube-prod_binary64`
11×	`*-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
10×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
9×	`cube-unmult_binary64`
8×	`sub0-neg_binary64`
7×	`prod-exp_binary64` `distribute-lft-out--_binary64`
6×	`associate--l-_binary64`
5×	`remove-double-neg_binary64` `+-lft-identity_binary64` `associate-+l+_binary64`
4×	`rec-exp_binary64` `rem-exp-log_binary64` `distribute-rgt-out--_binary64`
3×	`unpow2_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
2×	`remove-double-div_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `unpow1_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	19	16
2	28	16
3	56	16
4	116	16
5	272	16
6	657	16
7	2235	16
8	4520	16
9	4856	16
10	4944	16

prune4.0ms (0.1%)

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

5.7b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
0.0b	(/.f64 y (+.f64 z y))
0.1b	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
8.5b	(log.f64 (/.f64 y (+.f64 z y)))

rewrite384.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

261×	`times-frac_binary64`
221×	`*-un-lft-identity_binary64`
198×	`log-prod_binary64`
149×	`add-sqr-sqrt_binary64`
147×	`add-cube-cbrt_binary64`
144×	`exp-sum_binary64`
90×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
42×	`associate-/l*_binary64`
37×	`distribute-lft-out_binary64`
24×	`associate-/r/_binary64`
13×	`div-inv_binary64`
12×	`flip3-+_binary64` `flip-+_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`div-exp_binary64` `associate-l_binary64`
2×	`log-pow_binary64` `rem-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`log-div_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 288

Calls

4 calls:

21.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
9.0ms	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
5.0ms	(log.f64 (/.f64 y (+.f64 z y)))
5.0ms	(/.f64 y (+.f64 z y))

Compiler

Compiled 6452 to 1668 computations (74.1% saved)

series136.0ms (1.9%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

37.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
30.0ms	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
27.0ms	(log.f64 (/.f64 y (+.f64 z y)))
16.0ms	(/.f64 y (+.f64 z y))

Compiler

Compiled 1441 to 1148 computations (20.3% saved)

simplify277.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

747×	`times-frac_binary64`
250×	`exp-prod_binary64`
199×	`distribute-rgt-in_binary64`
174×	`distribute-lft-in_binary64`
170×	`div-exp_binary64`
136×	`sqr-pow_binary64`
126×	`log-div_binary64`
113×	`associate-l_binary64`
109×	`associate-/r/_binary64`
105×	`associate-/r*_binary64`
102×	`log-prod_binary64`
101×	`associate-r_binary64`
93×	`associate-/l/_binary64`
91×	`associate-/l*_binary64`
78×	`sub-neg_binary64`
75×	`exp-to-pow_binary64`
68×	`associate-*l/_binary64`
67×	`*-commutative_binary64`
62×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
55×	`pow-sqr_binary64`
44×	`div-sub_binary64`
42×	`exp-sum_binary64`
41×	`rec-exp_binary64`
40×	`*-lft-identity_binary64`
39×	`exp-diff_binary64`
36×	`rem-exp-log_binary64` `unswap-sqr_binary64`
29×	`associate-*r/_binary64`
26×	`neg-sub0_binary64`
25×	`distribute-lft-neg-out_binary64`
24×	`neg-mul-1_binary64`
23×	`+-commutative_binary64`
22×	`distribute-rgt-neg-out_binary64`
19×	`log-rec_binary64`
18×	`log-pow_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
14×	`distribute-rgt-out_binary64`
11×	`prod-exp_binary64` `cube-prod_binary64` `distribute-frac-neg_binary64`
10×	`exp-neg_binary64` `unsub-neg_binary64` `distribute-lft-neg-in_binary64`
9×	`unpow3_binary64` `associate--l-_binary64`
7×	`distribute-neg-frac_binary64`
6×	`cube-unmult_binary64` `cube-div_binary64`
5×	`swap-sqr_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
4×	`pow-plus_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate-+l+_binary64`
3×	`unpow1/2_binary64` `pow-base-1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `count-2_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `distribute-lft1-in_binary64` `associate--r+_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_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` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-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-lft-out--_binary64` `associate--r-_binary64`

Counts

328 → 300

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	483	7630
1	699	7355
2	1968	7343
3	4502	7299
4	4964	7299

prune183.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	296	4	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	4	301

Error

Counts

301 → 4

Compiler

Compiled 3950 to 1066 computations (73% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
0.2b	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
5.1b	(sqrt.f64 (/.f64 y (+.f64 y z)))
5.1b	(sqrt.f64 (/.f64 y (+.f64 y z)))

rewrite167.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`sqrt-prod_binary64`
64×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
42×	`unpow-prod-down_binary64`
40×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`pow1_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `pow-unpow_binary64` `pow-pow_binary64`
4×	`pow1/2_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
2×	`sqrt-div_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64`

Counts

4 → 136

Calls

4 calls:

8.0ms	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
8.0ms	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
8.0ms	(sqrt.f64 (/.f64 y (+.f64 y z)))
6.0ms	(sqrt.f64 (/.f64 y (+.f64 y z)))

Compiler

Compiled 3470 to 681 computations (80.4% saved)

series121.0ms (1.7%)

Error

Counts

4 → 32

Calls

4 calls:

28.0ms	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
27.0ms	(pow.f64 (sqrt.f64 (/.f64 y (+.f64 y z))) y)
24.0ms	(sqrt.f64 (/.f64 y (+.f64 y z)))
24.0ms	(sqrt.f64 (/.f64 y (+.f64 y z)))

Compiler

Compiled 1748 to 1214 computations (30.5% saved)

simplify182.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-l_binary64`
399×	`associate-r_binary64`
273×	`exp-sum_binary64`
246×	`sqr-pow_binary64`
201×	`exp-prod_binary64`
190×	`log-prod_binary64` `associate-/l*_binary64`
186×	`div-sub_binary64`
162×	`unsub-neg_binary64`
160×	`unswap-sqr_binary64`
153×	`times-frac_binary64`
141×	`distribute-rgt-in_binary64`
140×	`pow-sqr_binary64`
133×	`distribute-lft-in_binary64`
106×	`*-commutative_binary64`
101×	`associate-/r*_binary64`
89×	`associate-+l+_binary64`
84×	`associate-+r+_binary64`
79×	`associate-/r/_binary64`
77×	`associate-/l/_binary64`
73×	`cube-unmult_binary64`
71×	`cube-prod_binary64`
66×	`exp-diff_binary64`
56×	`sub-neg_binary64`
55×	`log-div_binary64`
51×	`associate-*l/_binary64` `+-commutative_binary64`
48×	`pow-plus_binary64` `associate-*r/_binary64`
45×	`associate-+r-_binary64`
39×	`associate-+l-_binary64`
33×	`log-pow_binary64`
32×	`neg-mul-1_binary64`
31×	`neg-sub0_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
24×	`*-lft-identity_binary64`
16×	`exp-to-pow_binary64` `distribute-lft-neg-in_binary64`
15×	`/-rgt-identity_binary64` `associate--r+_binary64`
14×	`log-rec_binary64`
13×	`distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
9×	`+-rgt-identity_binary64`
8×	`rem-exp-log_binary64` `cube-div_binary64` `distribute-lft-neg-out_binary64`
7×	`unpow3_binary64` `div-exp_binary64` `distribute-neg-in_binary64` `count-2_binary64`
6×	`unpow1/2_binary64` `rec-exp_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-rgt-out--_binary64`
5×	`pow-base-1_binary64` `exp-neg_binary64` `distribute-rgt-neg-out_binary64`
4×	`prod-exp_binary64` `cube-mult_binary64` `swap-sqr_binary64` `associate--l+_binary64`
3×	`distribute-lft-out_binary64` `associate--r-_binary64`
2×	`mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
1×	`unpow1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `div0_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_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` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

168 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	2870
1	301	2734
2	702	2714
3	1562	2708
4	3781	2708
5	4905	2708
6	4956	2708

prune54.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 1151 to 291 computations (74.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)
0.0b	(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (.f64 1/2 (.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))))
0.2b	(*.f64 (/.f64 z y) (/.f64 z y))
5.2b	(.f64 (.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))

rewrite218.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
41×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
36×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
23×	`associate-*r/_binary64`
19×	`frac-times_binary64`
16×	`pow1_binary64` `associate-r_binary64`
14×	`associate-l_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*l/_binary64` `swap-sqr_binary64`
12×	`frac-add_binary64`
11×	`exp-neg_binary64`
9×	`div-exp_binary64` `cbrt-undiv_binary64` `neg-sub0_binary64` `exp-diff_binary64`
6×	`add-log-exp_binary64`
5×	`unswap-sqr_binary64` `div-inv_binary64`
4×	`pow-prod-down_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`un-div-inv_binary64` `*-commutative_binary64` `associate-/l/_binary64`
1×	`pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 156

Calls

4 calls:

16.0ms	(.f64 (.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))
13.0ms	(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (.f64 1/2 (.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))))
11.0ms	(*.f64 (/.f64 z y) (/.f64 z y))
5.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 4414 to 1155 computations (73.8% saved)

series147.0ms (2%)

Error

Counts

4 → 32

Calls

4 calls:

50.0ms	(+.f64 (/.f64 (exp.f64 (neg.f64 z)) y) (.f64 1/2 (.f64 (*.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))))
30.0ms	(.f64 (.f64 (/.f64 z y) (/.f64 z y)) (exp.f64 (neg.f64 z)))
25.0ms	(*.f64 (/.f64 z y) (/.f64 z y))
20.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

Compiler

Compiled 1485 to 1046 computations (29.6% saved)

simplify158.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

854×	`times-frac_binary64`
505×	`associate-/l/_binary64`
295×	`associate-l_binary64`
276×	`associate-r_binary64`
203×	`associate-*l/_binary64`
191×	`associate-*r/_binary64`
153×	`associate-/l*_binary64`
148×	`*-commutative_binary64`
128×	`cancel-sign-sub-inv_binary64`
121×	`unswap-sqr_binary64`
111×	`distribute-rgt-neg-in_binary64`
97×	`distribute-lft-neg-in_binary64`
66×	`swap-sqr_binary64`
63×	`distribute-rgt-out_binary64`
60×	`exp-prod_binary64` `distribute-rgt-in_binary64`
53×	`sub-neg_binary64`
51×	`cube-prod_binary64`
49×	`sqr-pow_binary64` `distribute-lft-in_binary64`
48×	`log-prod_binary64`
44×	`cube-div_binary64` `*-rgt-identity_binary64`
42×	`distribute-neg-frac_binary64`
40×	`log-div_binary64`
36×	`+-commutative_binary64`
34×	`-lft-identity_binary64` `associate-/r_binary64`
22×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-out--_binary64`
17×	`log-pow_binary64` `associate-/r/_binary64`
15×	`log-rec_binary64` `/-rgt-identity_binary64`
13×	`associate-+l-_binary64`
12×	`unsub-neg_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`cube-unmult_binary64` `pow-sqr_binary64` `associate-+l+_binary64`
8×	`unpow3_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
7×	`distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
6×	`prod-exp_binary64` `cube-mult_binary64`
5×	`exp-diff_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64`
4×	`div-sub_binary64` `sub0-neg_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64` `exp-neg_binary64` `rem-log-exp_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `associate--r-_binary64` `associate--r+_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` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`

Counts

188 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3698
1	642	3047
2	2174	2760
3	4984	2760
4	4939	2760

prune99.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 1989 to 716 computations (64% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 y) (log.f64 (+.f64 y z))))
1.8b	(-.f64 (log.f64 y) (log.f64 (+.f64 y z)))

rewrite79.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
13×	`log-prod_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`add-cube-cbrt_binary64` `log-pow_binary64`
10×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
9×	`associate--l+_binary64`
8×	`distribute-lft-out--_binary64` `associate-r_binary64`
6×	`log-div_binary64` `associate--r-_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate--r+_binary64`
3×	`sub-neg_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate-*r/_binary64`
1×	`diff-log_binary64` `distribute-lft-out_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 74

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 (log.f64 y) (log.f64 (+.f64 y z))))
8.0ms	(-.f64 (log.f64 y) (log.f64 (+.f64 y z)))

Compiler

Compiled 1411 to 425 computations (69.9% saved)

series70.0ms (1%)

Error

Counts

2 → 22

Calls

2 calls:

30.0ms	(*.f64 y (-.f64 (log.f64 y) (log.f64 (+.f64 y z))))
29.0ms	(-.f64 (log.f64 y) (log.f64 (+.f64 y z)))

Compiler

Compiled 854 to 649 computations (24% saved)

simplify116.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

540×	`times-frac_binary64`
456×	`associate-l_binary64`
374×	`neg-sub0_binary64`
372×	`neg-mul-1_binary64`
227×	`cancel-sign-sub-inv_binary64`
205×	`distribute-rgt-in_binary64`
191×	`sub-neg_binary64`
187×	`distribute-lft-in_binary64`
181×	`exp-prod_binary64`
156×	`distribute-lft-neg-out_binary64`
141×	`*-commutative_binary64`
140×	`distribute-rgt-neg-out_binary64`
120×	`unsub-neg_binary64`
95×	`unswap-sqr_binary64`
86×	`associate-r_binary64`
71×	`distribute-lft-neg-in_binary64`
66×	`*-rgt-identity_binary64`
65×	`distribute-rgt-neg-in_binary64`
59×	`+-commutative_binary64`
58×	`sqr-pow_binary64`
53×	`div-sub_binary64` `*-lft-identity_binary64`
51×	`exp-sum_binary64`
50×	`associate-/l*_binary64`
45×	`associate-+l-_binary64`
41×	`associate-+r-_binary64`
40×	`log-prod_binary64`
38×	`associate-+l+_binary64`
36×	`associate-+r+_binary64`
35×	`distribute-rgt-out--_binary64`
32×	`associate-/r*_binary64`
31×	`cube-prod_binary64`
29×	`associate--l+_binary64`
26×	`+-rgt-identity_binary64`
24×	`sub0-neg_binary64`
22×	`difference-of-squares_binary64`
21×	`distribute-neg-in_binary64`
19×	`swap-sqr_binary64` `distribute-neg-frac_binary64`
18×	`exp-diff_binary64`
17×	`cube-unmult_binary64`
16×	`log-pow_binary64` `unpow3_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64`
11×	`associate-/r/_binary64`
10×	`log-div_binary64` `rem-sqrt-square_binary64` `associate--r+_binary64`
9×	`mul-1-neg_binary64`
8×	`exp-to-pow_binary64` `exp-neg_binary64` `pow-sqr_binary64`
7×	`sqr-neg_binary64` `/-rgt-identity_binary64`
6×	`cube-mult_binary64` `distribute-rgt-out_binary64` `associate-/l/_binary64` `associate--l-_binary64`
5×	`prod-exp_binary64` `distribute-rgt1-in_binary64` `associate-*l/_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `cube-div_binary64` `count-2_binary64` `associate-*r/_binary64`
3×	`rec-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `cube-neg_binary64` `div0_binary64` `distribute-lft1-in_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_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-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

96 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1602
1	342	1500
2	903	1500
3	2512	1478
4	4288	1478
5	5057	1478

prune26.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	59	4	63

Error

Counts

63 → 4

Compiler

Compiled 521 to 215 computations (58.7% saved)

regimes1.9s (26%)

Accuracy

Total 2.1b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 22424 to 15365 computations (31.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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	18	52
1	22	52
2	22	52

end1.0ms (0%)

Compiler: Compiled 32 to 17 computations (46.9% saved)

sample1.8s (24.2%)

Algorithm

1×

intervals

Results

427.0ms	6167×	body	128	valid
361.0ms	910×	body	1024	valid
150.0ms	607×	body	512	valid
63.0ms	172×	body	1024	invalid
55.0ms	235×	body	512	invalid
47.0ms	970×	body	128	nan
46.0ms	308×	body	256	valid
26.0ms	156×	body	256	invalid
25.0ms	390×	body	128	invalid
5.0ms	8×	body	2048	valid

Compiler

Compiled 149 to 110 computations (26.2% saved)

Details

analyze1.0s (14%)

sample48.0ms (0.7%)

simplify74.0ms (1%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite384.0ms (5.3%)

series136.0ms (1.9%)

simplify277.0ms (3.8%)

prune183.0ms (2.5%)

localize10.0ms (0.1%)

rewrite167.0ms (2.3%)

series121.0ms (1.7%)

simplify182.0ms (2.5%)

prune54.0ms (0.7%)

localize14.0ms (0.2%)

rewrite218.0ms (3%)

series147.0ms (2%)

simplify158.0ms (2.2%)

prune99.0ms (1.4%)

localize11.0ms (0.2%)

rewrite79.0ms (1.1%)

series70.0ms (1%)

simplify116.0ms (1.6%)

prune26.0ms (0.4%)

regimes1.9s (26%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.8s (24.2%)

Profiling