Details

analyze969.0ms (19.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

969×	`div-sub_binary64`
897×	`unsub-neg_binary64`
754×	`sub-neg_binary64`
627×	`neg-mul-1_binary64`
593×	`distribute-rgt-in_binary64`
538×	`neg-sub0_binary64`
522×	`associate-/l*_binary64`
391×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
345×	`distribute-lft-neg-in_binary64`
336×	`cancel-sign-sub-inv_binary64`
329×	`distribute-frac-neg_binary64`
304×	`distribute-neg-frac_binary64`
260×	`*-commutative_binary64`
256×	`distribute-rgt-neg-out_binary64`
239×	`remove-double-neg_binary64`
236×	`distribute-lft-in_binary64`
207×	`distribute-lft-neg-out_binary64`
197×	`associate-+l-_binary64`
190×	`+-commutative_binary64`
140×	`distribute-neg-in_binary64`
123×	`associate--r+_binary64`
95×	`distribute-neg-out_binary64`
83×	`associate-+r+_binary64`
75×	`div0_binary64`
72×	`associate-/r/_binary64`
67×	`mul0-rgt_binary64` `associate-+l+_binary64`
63×	`mul0-lft_binary64`
62×	`/-rgt-identity_binary64`
56×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
52×	`associate-+r-_binary64`
49×	`associate--r-_binary64`
45×	`*-lft-identity_binary64`
38×	`distribute-rgt-out_binary64` `associate-r_binary64`
37×	`+-rgt-identity_binary64`
35×	`associate-*l/_binary64`
29×	`associate-*r/_binary64`
28×	`associate-l_binary64` `associate--l+_binary64`
25×	`associate--l-_binary64`
23×	`*-rgt-identity_binary64`
19×	`+-lft-identity_binary64`
18×	`distribute-rgt1-in_binary64`
11×	`distribute-lft-out--_binary64`
9×	`associate-/l/_binary64`
8×	`distribute-lft1-in_binary64`
7×	`mul-1-neg_binary64`
6×	`distribute-lft-out_binary64`
2×	`--rgt-identity_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_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` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	70	91
2	146	91
3	287	91
4	585	91
5	1250	91
6	2136	91
7	3726	91
8	3755	91
9	4119	91
10	4254	91
11	4349	91
12	4567	91
13	4559	91
14	4611	91
15	4807	91
16	4921	91
17	4943	91
18	4943	91
19	4943	91
20	4968	91
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%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

203×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-in_binary64`
104×	`div-sub_binary64`
101×	`unsub-neg_binary64`
96×	`distribute-lft-in_binary64`
94×	`associate-/l*_binary64`
82×	`associate-r_binary64`
78×	`associate-l_binary64`
67×	`sub-neg_binary64`
63×	`distribute-rgt-neg-in_binary64`
55×	`associate-/r*_binary64`
52×	`distribute-rgt-neg-out_binary64`
46×	`distribute-lft-neg-out_binary64`
41×	`associate-/r/_binary64`
40×	`neg-mul-1_binary64`
38×	`distribute-lft-neg-in_binary64`
35×	`neg-sub0_binary64` `*-commutative_binary64`
34×	`associate--r+_binary64`
33×	`distribute-neg-in_binary64`
30×	`distribute-neg-frac_binary64`
27×	`associate-/l/_binary64`
26×	`mul0-lft_binary64` `associate-+l-_binary64`
24×	`associate-*l/_binary64`
23×	`mul0-rgt_binary64` `+-commutative_binary64`
21×	`associate-+l+_binary64`
20×	`associate-+r+_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`sub0-neg_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
11×	`remove-double-neg_binary64`
10×	`associate-+r-_binary64`
9×	`distribute-rgt-out_binary64` `associate--l+_binary64`
8×	`-rgt-identity_binary64` `associate-r/_binary64`
7×	`*-lft-identity_binary64`
6×	`div0_binary64` `associate--l-_binary64`
5×	`associate--r-_binary64`
4×	`/-rgt-identity_binary64`
3×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_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` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.9b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.1b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite92.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1003 to 284 computations (71.7% saved)

series157.0ms (3.2%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

65.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
47.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
27.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1082 to 847 computations (21.7% saved)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
500×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
214×	`associate-/l/_binary64`
196×	`exp-prod_binary64`
90×	`associate-l_binary64`
80×	`*-commutative_binary64`
78×	`exp-sum_binary64`
77×	`associate-r_binary64`
74×	`associate-/l*_binary64`
69×	`distribute-rgt-neg-in_binary64`
66×	`sub-neg_binary64`
56×	`distribute-lft-neg-out_binary64`
55×	`log-div_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
53×	`div-sub_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
46×	`distribute-lft-neg-in_binary64`
43×	`associate-*r/_binary64`
40×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`distribute-neg-in_binary64`
30×	`+-commutative_binary64`
28×	`exp-diff_binary64`
25×	`*-rgt-identity_binary64`
24×	`sqr-pow_binary64`
23×	`cube-div_binary64`
21×	`*-lft-identity_binary64`
17×	`associate-/r*_binary64`
16×	`unpow3_binary64` `cube-prod_binary64`
15×	`log-rec_binary64`
13×	`exp-neg_binary64` `associate-/r/_binary64`
10×	`/-rgt-identity_binary64` `swap-sqr_binary64`
7×	`unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
6×	`cube-mult_binary64`
5×	`distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+l+_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt-out--_binary64`
3×	`cancel-sign-sub_binary64`
2×	`associate--r-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `associate--l-_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

122 → 84

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1455
1	387	1318
2	1340	1318
3	4641	1318
4	5049	1318

prune39.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	8	85

Error

0.0b

Counts

85 → 8

Compiler

Compiled 632 to 225 computations (64.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
0.0b	(/.f64 (-.f64 z x) t)
6.1b	(*.f64 y (/.f64 (-.f64 z x) t))

rewrite118.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
3×	`associate-l_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

11.0ms	(*.f64 y (/.f64 (-.f64 z x) t))
6.0ms	(/.f64 (-.f64 z x) t)
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))

Compiler

Compiled 1369 to 344 computations (74.9% saved)

series159.0ms (3.2%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

66.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
49.0ms	(*.f64 y (/.f64 (-.f64 z x) t))
30.0ms	(/.f64 (-.f64 z x) t)

Compiler

Compiled 1124 to 863 computations (23.2% saved)

simplify103.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
516×	`distribute-lft-in_binary64`
460×	`associate-*l/_binary64`
265×	`associate-/l*_binary64`
116×	`times-frac_binary64`
100×	`associate-/l/_binary64`
97×	`associate-l_binary64`
90×	`associate-/r/_binary64`
81×	`*-commutative_binary64`
80×	`associate-r_binary64`
75×	`associate-/r*_binary64`
70×	`associate-*r/_binary64`
59×	`exp-prod_binary64` `sub-neg_binary64`
55×	`distribute-rgt-neg-in_binary64`
52×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64`
51×	`distribute-neg-frac_binary64`
47×	`exp-sum_binary64`
44×	`div-sub_binary64`
39×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
37×	`distribute-lft-neg-in_binary64`
35×	`log-prod_binary64`
32×	`distribute-neg-in_binary64`
31×	`neg-mul-1_binary64` `+-commutative_binary64`
27×	`*-rgt-identity_binary64`
26×	`log-div_binary64`
23×	`*-lft-identity_binary64`
20×	`sqr-pow_binary64`
19×	`exp-diff_binary64`
16×	`distribute-rgt-out_binary64`
13×	`cube-prod_binary64`
11×	`cube-div_binary64`
10×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
9×	`distribute-rgt-out--_binary64`
8×	`unswap-sqr_binary64`
7×	`unpow3_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-+l+_binary64`
4×	`cube-mult_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `swap-sqr_binary64`
3×	`log-rec_binary64` `cube-unmult_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64`
2×	`prod-exp_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1/2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `associate--l-_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-log-exp_binary64` `rem-exp-log_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` `sub0-neg_binary64` `--rgt-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

144 → 83

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	1883
1	410	1752
2	1335	1752
3	4845	1752
4	5013	1752

prune40.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Error

0.0b

Counts

91 → 11

Compiler

Compiled 676 to 249 computations (63.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
6.5b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (-.f64 z x)) t))

rewrite173.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
30×	`cbrt-div_binary64` `cbrt-prod_binary64`
28×	`associate-r_binary64`
25×	`add-exp-log_binary64`
24×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-*r/_binary64`
18×	`add-cbrt-cube_binary64`
16×	`frac-times_binary64`
15×	`flip3--_binary64` `flip--_binary64`
13×	`pow1_binary64`
12×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*l/_binary64`
6×	`pow-prod-down_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `pow1/3_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

23.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (-.f64 z x)) t))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 3276 to 624 computations (81% saved)

series162.0ms (3.3%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

61.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))) (/.f64 (cbrt.f64 (-.f64 z x)) t))
26.0ms	(cbrt.f64 (-.f64 z x))
26.0ms	(cbrt.f64 (-.f64 z x))
25.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 2103 to 1486 computations (29.3% saved)

simplify135.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-*l/_binary64`
388×	`times-frac_binary64`
372×	`associate-l_binary64`
283×	`associate-r_binary64`
243×	`associate-/r*_binary64`
196×	`*-commutative_binary64`
193×	`distribute-lft-in_binary64`
192×	`distribute-rgt-in_binary64`
151×	`associate-/l/_binary64`
124×	`associate-/r/_binary64`
116×	`associate-/l*_binary64`
111×	`associate-*r/_binary64`
84×	`exp-prod_binary64`
68×	`log-prod_binary64`
44×	`sqr-pow_binary64`
38×	`log-div_binary64` `sub-neg_binary64`
32×	`cancel-sign-sub-inv_binary64`
31×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
28×	`distribute-lft-neg-in_binary64`
26×	`exp-sum_binary64` `+-commutative_binary64`
23×	`neg-sub0_binary64`
21×	`cube-prod_binary64`
18×	`unswap-sqr_binary64` `swap-sqr_binary64`
17×	`unpow3_binary64`
15×	`neg-mul-1_binary64`
14×	`exp-diff_binary64` `associate-+l+_binary64`
13×	`distribute-neg-frac_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`div-sub_binary64` `distribute-rgt-neg-out_binary64`
9×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
7×	`cube-unmult_binary64` `cube-div_binary64` `distribute-rgt-out_binary64` `associate-+r+_binary64`
5×	`unpow1/3_binary64`
4×	`associate-+r-_binary64`
3×	`pow-plus_binary64` `exp-neg_binary64` `cube-mult_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1/2_binary64` `exp-to-pow_binary64` `distribute-neg-out_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_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` `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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

156 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2997
1	577	2844
2	2049	2841
3	4824	2835
4	4979	2835

prune61.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	92	11	103

Error

0.0b

Counts

103 → 11

Compiler

Compiled 1401 to 459 computations (67.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z x) y)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 z x) y) (/.f64 1 t)))
7.2b	(.f64 (.f64 (-.f64 z x) y) (/.f64 1 t))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64` `associate-r_binary64`
14×	`*-un-lft-identity_binary64`
13×	`prod-exp_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`un-div-inv_binary64` `associate-*r/_binary64` `div-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 75

Calls

3 calls:

11.0ms	(.f64 (.f64 (-.f64 z x) y) (/.f64 1 t))
6.0ms	(*.f64 (-.f64 z x) y)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 z x) y) (/.f64 1 t)))

Compiler

Compiled 1351 to 574 computations (57.5% saved)

series156.0ms (3.2%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

65.0ms	(+.f64 x (.f64 (.f64 (-.f64 z x) y) (/.f64 1 t)))
48.0ms	(.f64 (.f64 (-.f64 z x) y) (/.f64 1 t))
28.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 1165 to 909 computations (22% saved)

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Rules

635×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
584×	`times-frac_binary64`
181×	`associate-l_binary64`
138×	`associate-r_binary64`
105×	`*-commutative_binary64`
102×	`distribute-rgt-neg-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
83×	`distribute-lft-neg-in_binary64`
78×	`exp-prod_binary64`
63×	`associate-*r/_binary64`
57×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
49×	`associate-/l*_binary64`
48×	`exp-sum_binary64`
46×	`distribute-rgt-neg-out_binary64`
35×	`+-commutative_binary64`
34×	`neg-sub0_binary64`
32×	`distribute-neg-frac_binary64`
31×	`distribute-neg-in_binary64` `associate-*l/_binary64`
30×	`*-lft-identity_binary64` `sqr-pow_binary64`
29×	`*-rgt-identity_binary64`
28×	`cube-prod_binary64` `div-sub_binary64`
27×	`neg-mul-1_binary64`
22×	`distribute-rgt-out_binary64`
20×	`log-prod_binary64`
17×	`swap-sqr_binary64`
16×	`log-div_binary64` `exp-diff_binary64` `cube-div_binary64`
14×	`associate-+l+_binary64`
13×	`unpow3_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`cube-mult_binary64`
10×	`distribute-lft-out_binary64` `associate-+r-_binary64`
9×	`mul-1-neg_binary64` `unswap-sqr_binary64` `associate-/l/_binary64` `associate-/r*_binary64` `associate-+r+_binary64`
8×	`unsub-neg_binary64`
7×	`/-rgt-identity_binary64`
6×	`associate-/r/_binary64`
5×	`distribute-lft-out--_binary64`
4×	`cube-unmult_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate-+l-_binary64`
3×	`log-rec_binary64` `sqr-neg_binary64`
2×	`unpow1/2_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `associate--r-_binary64` `associate--l-_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

132 → 115

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	1634
1	418	1502
2	1544	1502
3	4771	1502
4	5476	1502

prune58.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	5	8
Picked	0	1	1
Done	2	0	2
Total	118	8	126

Error

0.0b

Counts

126 → 8

Compiler

Compiled 844 to 300 computations (64.5% saved)

regimes1.1s (22.8%)

Accuracy

Total 1.2b remaining (98.9%)

Threshold costs 0b (0%)

Compiler

Compiled 9292 to 6267 computations (32.6% saved)

bsearch40.0ms (0.8%)

Steps

Iters	Range		Point
6	1.2587698538069188e-154	7.55469503192613e-154	6.472968581870179e-154
9	-4.2055150113097474e+124	-6.621045586111602e+118	-8.401106217348013e+123

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`if-if-or-not_binary64` `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_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	25	70
1	35	70
2	40	70
3	42	70
4	43	70
5	43	70

end1.0ms (0%)

Compiler: Compiled 45 to 24 computations (46.7% saved)

sample901.0ms (18.4%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
74.0ms	2138×	body	128	invalid

Compiler

Compiled 178 to 142 computations (20.2% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze969.0ms (19.7%)

sample23.0ms (0.5%)

simplify58.0ms (1.2%)

prune1.0ms (0%)

localize12.0ms (0.2%)

rewrite92.0ms (1.9%)

series157.0ms (3.2%)

simplify90.0ms (1.8%)

prune39.0ms (0.8%)

localize7.0ms (0.1%)

rewrite118.0ms (2.4%)

series159.0ms (3.2%)

simplify103.0ms (2.1%)

prune40.0ms (0.8%)

localize11.0ms (0.2%)

rewrite173.0ms (3.5%)

series162.0ms (3.3%)

simplify135.0ms (2.8%)

prune61.0ms (1.2%)

localize8.0ms (0.2%)

rewrite109.0ms (2.2%)

series156.0ms (3.2%)

simplify98.0ms (2%)

prune58.0ms (1.2%)

regimes1.1s (22.8%)

bsearch40.0ms (0.8%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample901.0ms (18.4%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13