Details

analyze755.0ms (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

788×	`sub-neg_binary64`
779×	`div-sub_binary64`
524×	`neg-mul-1_binary64`
431×	`cancel-sign-sub-inv_binary64`
426×	`distribute-rgt-in_binary64`
370×	`distribute-neg-frac_binary64`
312×	`unsub-neg_binary64`
308×	`neg-sub0_binary64`
272×	`times-frac_binary64`
189×	`distribute-neg-in_binary64`
177×	`cancel-sign-sub_binary64`
174×	`distribute-frac-neg_binary64`
170×	`associate-/l*_binary64`
125×	`associate--r+_binary64`
87×	`distribute-lft-neg-in_binary64`
86×	`distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
79×	`associate-+r+_binary64`
77×	`associate--l+_binary64`
72×	`associate-/r*_binary64`
68×	`remove-double-neg_binary64`
64×	`+-commutative_binary64`
57×	`*-commutative_binary64`
55×	`+-rgt-identity_binary64` `associate-*r/_binary64`
51×	`associate-+l+_binary64`
48×	`associate-*l/_binary64`
46×	`distribute-lft-neg-out_binary64`
45×	`sub0-neg_binary64` `mul0-lft_binary64`
38×	`associate-/r/_binary64`
37×	`associate-+l-_binary64`
35×	`associate-r_binary64`
33×	`distribute-rgt-neg-out_binary64`
32×	`associate-/l/_binary64`
28×	`div0_binary64` `associate-l_binary64`
24×	`associate-+r-_binary64`
23×	`+-lft-identity_binary64`
15×	`*-rgt-identity_binary64`
14×	`*-lft-identity_binary64` `associate--r-_binary64`
10×	`mul0-rgt_binary64`
6×	`difference-of-squares_binary64` `swap-sqr_binary64`
4×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64`
3×	`sqr-neg_binary64` `/-rgt-identity_binary64` `*-inverses_binary64` `distribute-lft-out_binary64` `associate--l-_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_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` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	88
1	70	88
2	187	88
3	367	88
4	837	88
5	2236	88
6	3898	76
7	4445	76
8	4945	76
9	4978	76
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
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	103×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

822×	`div-sub_binary64`
608×	`neg-mul-1_binary64`
536×	`times-frac_binary64`
461×	`unsub-neg_binary64`
417×	`distribute-frac-neg_binary64`
410×	`distribute-rgt-in_binary64`
364×	`sub-neg_binary64`
190×	`neg-sub0_binary64`
152×	`distribute-lft-in_binary64`
143×	`associate-/l*_binary64`
129×	`distribute-neg-frac_binary64`
128×	`distribute-neg-in_binary64`
124×	`+-commutative_binary64`
108×	`associate--l+_binary64`
105×	`cancel-sign-sub-inv_binary64` `associate--r+_binary64`
96×	`remove-double-neg_binary64` `associate-+r+_binary64`
92×	`associate-+l-_binary64`
91×	`associate-+l+_binary64`
88×	`sub0-neg_binary64`
72×	`distribute-rgt-neg-in_binary64`
69×	`distribute-lft-neg-in_binary64`
64×	`distribute-neg-out_binary64`
61×	`*-commutative_binary64`
51×	`cancel-sign-sub_binary64`
49×	`distribute-lft-neg-out_binary64`
47×	`distribute-rgt-neg-out_binary64`
45×	`associate-/r/_binary64`
42×	`div0_binary64` `associate-/l/_binary64`
41×	`associate-*l/_binary64`
40×	`/-rgt-identity_binary64`
39×	`mul0-lft_binary64` `associate-+r-_binary64`
38×	`associate--r-_binary64`
35×	`associate-*r/_binary64`
34×	`cube-prod_binary64` `associate-r_binary64`
33×	`associate-/r_binary64` `associate-l*_binary64`
30×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
26×	`mul0-rgt_binary64`
25×	`associate--l-_binary64`
21×	`distribute-rgt-out_binary64`
20×	`+-lft-identity_binary64`
19×	`--rgt-identity_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`*-rgt-identity_binary64`
12×	`mul-1-neg_binary64`
9×	`swap-sqr_binary64`
8×	`cube-div_binary64`
6×	`unpow3_binary64` `*-lft-identity_binary64`
5×	`cube-mult_binary64` `cube-neg_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64`
3×	`sqr-neg_binary64`
1×	`1-exp_binary64` `cube-unmult_binary64` `*-inverses_binary64` `sqr-pow_binary64` `distribute-rgt1-in_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_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` `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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	26	22
2	61	22
3	116	22
4	247	22
5	541	22
6	1124	19
7	2215	19
8	4371	19
9	4645	19
10	4898	19

prune4.0ms (0.1%)

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

13.4b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(-.f64 (.f64 z z) (.f64 x x))
13.9b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite79.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`difference-of-squares_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 47

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1028 to 300 computations (70.8% saved)

series90.0ms (1.7%)

Error

7.3b

Counts

2 → 27

Calls

2 calls:

54.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
27.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 612 to 551 computations (10% saved)

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

251×	`div-sub_binary64`
207×	`associate-l_binary64`
194×	`unswap-sqr_binary64`
189×	`distribute-rgt-neg-out_binary64`
187×	`distribute-lft-neg-out_binary64`
180×	`associate-r_binary64`
173×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`
163×	`cancel-sign-sub-inv_binary64`
159×	`exp-prod_binary64`
152×	`associate-*l/_binary64`
149×	`associate-/l*_binary64`
131×	`exp-sum_binary64`
105×	`cube-prod_binary64` `associate-*r/_binary64`
95×	`*-commutative_binary64`
87×	`times-frac_binary64`
84×	`sub-neg_binary64`
81×	`associate-/l/_binary64`
72×	`distribute-frac-neg_binary64`
71×	`associate-/r*_binary64`
66×	`exp-diff_binary64` `cube-div_binary64`
64×	`unsub-neg_binary64`
63×	`distribute-neg-frac_binary64`
57×	`sqr-pow_binary64`
56×	`neg-sub0_binary64`
53×	`log-prod_binary64`
49×	`log-div_binary64` `associate-/r/_binary64`
46×	`distribute-neg-in_binary64`
44×	`neg-mul-1_binary64` `difference-of-squares_binary64`
39×	`unpow3_binary64`
32×	`swap-sqr_binary64`
31×	`distribute-rgt-neg-in_binary64`
30×	`+-commutative_binary64`
26×	`cube-mult_binary64`
25×	`distribute-lft-neg-in_binary64`
20×	`cube-unmult_binary64`
16×	`pow-plus_binary64`
12×	`*-rgt-identity_binary64`
11×	`exp-neg_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`mul-1-neg_binary64`
8×	`remove-double-neg_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
7×	`*-lft-identity_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
5×	`log-rec_binary64` `sqr-neg_binary64` `associate--r+_binary64`
3×	`cube-neg_binary64` `sub0-neg_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `div0_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_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-pow_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

74 → 51

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	1231
1	243	1124
2	659	1124
3	2570	1124
4	4464	1124
5	4963	1124

prune36.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Error

0.0b

Counts

53 → 5

Compiler

Compiled 581 to 231 computations (60.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))

rewrite118.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `distribute-lft-out_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 83

Calls

2 calls:

12.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
6.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 1579 to 492 computations (68.8% saved)

series100.0ms (1.8%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

54.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
35.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 799 to 628 computations (21.4% saved)

simplify119.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

708×	`div-sub_binary64`
531×	`associate-*l/_binary64`
389×	`associate-*r/_binary64`
328×	`associate-/l*_binary64`
274×	`*-commutative_binary64`
122×	`distribute-rgt-in_binary64`
113×	`distribute-lft-in_binary64`
81×	`times-frac_binary64`
79×	`+-commutative_binary64`
76×	`associate-/r_binary64` `associate-l*_binary64`
70×	`exp-prod_binary64`
64×	`associate-r_binary64`
63×	`associate-/l/_binary64`
59×	`log-div_binary64`
51×	`associate-/r/_binary64`
43×	`associate-+l+_binary64`
40×	`sub-neg_binary64` `associate-+r+_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`cube-prod_binary64`
34×	`exp-sum_binary64` `distribute-rgt-neg-out_binary64`
33×	`log-prod_binary64`
29×	`cube-div_binary64`
26×	`neg-sub0_binary64`
24×	`sqr-pow_binary64`
21×	`associate-+l-_binary64`
20×	`neg-mul-1_binary64`
19×	`exp-diff_binary64` `unswap-sqr_binary64` `associate-+r-_binary64`
18×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
14×	`*-lft-identity_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`distribute-neg-in_binary64`
9×	`log-rec_binary64` `mul-1-neg_binary64` `distribute-rgt-neg-in_binary64`
8×	`/-rgt-identity_binary64` `swap-sqr_binary64`
7×	`unpow3_binary64` `exp-neg_binary64` `cube-unmult_binary64`
6×	`cube-neg_binary64` `sqr-neg_binary64`
5×	`cube-mult_binary64` `distribute-lft-neg-in_binary64`
4×	`pow-plus_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
3×	`unpow1/2_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_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` `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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

113 → 75

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1655
1	486	1539
2	1328	1539
3	3250	1539
4	4992	1539
5	4975	1539

prune59.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Error

0.0b

Counts

80 → 8

Compiler

Compiled 1017 to 370 computations (63.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))

rewrite158.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
8×	`associate-l_binary64` `associate-r_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
6.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 3030 to 821 computations (72.9% saved)

series170.0ms (3.1%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

57.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
29.0ms	(cbrt.f64 (-.f64 z x))
28.0ms	(cbrt.f64 (-.f64 z x))
26.0ms	(cbrt.f64 (-.f64 z x))

Compiler

Compiled 3028 to 2165 computations (28.5% saved)

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

403×	`unswap-sqr_binary64`
391×	`cancel-sign-sub-inv_binary64`
385×	`associate-l_binary64`
383×	`associate-r_binary64`
360×	`distribute-rgt-neg-in_binary64`
354×	`distribute-lft-neg-in_binary64`
316×	`neg-mul-1_binary64`
203×	`distribute-rgt-in_binary64`
157×	`*-commutative_binary64`
96×	`sqr-pow_binary64`
86×	`exp-prod_binary64`
85×	`sub-neg_binary64`
78×	`log-prod_binary64`
65×	`neg-sub0_binary64`
59×	`exp-sum_binary64`
48×	`cube-prod_binary64`
36×	`cube-unmult_binary64`
35×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
34×	`distribute-lft-in_binary64`
31×	`distribute-rgt-neg-out_binary64`
30×	`times-frac_binary64`
27×	`distribute-rgt-out_binary64`
26×	`unpow3_binary64`
24×	`pow-plus_binary64` `div-sub_binary64`
23×	`*-rgt-identity_binary64`
22×	`*-lft-identity_binary64`
21×	`unsub-neg_binary64` `+-commutative_binary64`
20×	`exp-diff_binary64`
17×	`rem-sqrt-square_binary64`
15×	`log-pow_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
14×	`pow-sqr_binary64`
12×	`unpow1/3_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
11×	`sub0-neg_binary64` `+-rgt-identity_binary64`
10×	`difference-of-squares_binary64` `distribute-neg-in_binary64`
9×	`associate-/r*_binary64`
8×	`exp-to-pow_binary64` `associate-+l+_binary64`
7×	`log-div_binary64` `associate-+r+_binary64`
6×	`unpow2_binary64`
5×	`unpow1/2_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `sqr-neg_binary64` `mul-1-neg_binary64`
4×	`prod-exp_binary64` `exp-neg_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64` `associate--r-_binary64`
3×	`unpow1_binary64` `associate--r+_binary64`
2×	`log-rec_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `remove-double-neg_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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

140 → 96

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	2214
1	285	2204
2	716	2122
3	2232	2094
4	4549	1926
5	4949	1926

prune84.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Error

0.0b

Counts

104 → 8

Compiler

Compiled 1811 to 669 computations (63.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (cbrt.f64 (/.f64 (-.f64 z x) y)))
5.0b	(cbrt.f64 (/.f64 (-.f64 z x) y))
5.0b	(cbrt.f64 (/.f64 (-.f64 z x) y))
5.0b	(cbrt.f64 (/.f64 (-.f64 z x) y))

rewrite495.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

157×	`cbrt-prod_binary64`
141×	`add-sqr-sqrt_binary64`
135×	`*-un-lft-identity_binary64`
123×	`times-frac_binary64`
75×	`add-cube-cbrt_binary64`
28×	`swap-sqr_binary64`
27×	`distribute-lft-out--_binary64`
22×	`associate-l_binary64` `associate-r_binary64`
21×	`difference-of-squares_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 186

Calls

4 calls:

28.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (cbrt.f64 (/.f64 (-.f64 z x) y)))
5.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))
5.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))
5.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))

Compiler

Compiled 6050 to 1154 computations (80.9% saved)

series415.0ms (7.6%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (cbrt.f64 (/.f64 (-.f64 z x) y)))
75.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))
74.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))
74.0ms	(cbrt.f64 (/.f64 (-.f64 z x) y))

Compiler

Compiled 7212 to 4741 computations (34.3% saved)

simplify279.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

200×	`associate-/l_binary64` `associate-/r_binary64`
188×	`exp-prod_binary64`
177×	`times-frac_binary64`
174×	`associate-r_binary64`
150×	`distribute-rgt-neg-in_binary64`
149×	`distribute-lft-neg-in_binary64`
148×	`exp-diff_binary64`
141×	`associate-l_binary64`
126×	`*-commutative_binary64`
125×	`cancel-sign-sub-inv_binary64`
99×	`sub-neg_binary64`
96×	`unswap-sqr_binary64`
93×	`sqr-pow_binary64`
82×	`associate-*r/_binary64`
79×	`neg-sub0_binary64` `associate-/r/_binary64`
78×	`neg-mul-1_binary64`
77×	`distribute-rgt-in_binary64`
71×	`distribute-lft-in_binary64` `associate-+r-_binary64`
70×	`distribute-neg-frac_binary64`
69×	`associate-*l/_binary64`
61×	`+-commutative_binary64`
56×	`exp-sum_binary64`
52×	`log-prod_binary64`
47×	`exp-neg_binary64`
43×	`associate-+l-_binary64`
39×	`div-sub_binary64`
34×	`*-rgt-identity_binary64`
32×	`unpow1/3_binary64`
31×	`log-pow_binary64`
30×	`*-lft-identity_binary64`
29×	`log-div_binary64` `distribute-lft-neg-out_binary64`
28×	`exp-to-pow_binary64` `associate-/l/_binary64`
27×	`distribute-rgt-neg-out_binary64`
25×	`associate-+r+_binary64`
23×	`unsub-neg_binary64`
22×	`associate--r-_binary64`
17×	`associate-+l+_binary64`
16×	`pow-sqr_binary64`
15×	`distribute-rgt-out_binary64`
14×	`exp-lft-sqr_binary64` `distribute-neg-out_binary64`
13×	`associate--l-_binary64` `associate--l+_binary64`
12×	`distribute-lft-out_binary64`
10×	`pow-plus_binary64`
9×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
8×	`log-rec_binary64`
7×	`cube-prod_binary64` `rem-sqrt-square_binary64` `distribute-frac-neg_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64`
5×	`unpow1_binary64` `cube-unmult_binary64`
4×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `swap-sqr_binary64`
2×	`unpow3_binary64` `prod-exp_binary64` `rem-3cbrt-lft_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `difference-of-squares_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_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-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

248 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	313	6593
1	700	6391
2	1822	6089
3	4557	5920
4	4956	5920
5	4972	5920

prune165.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	149	8	157

Error

0.0b

Counts

157 → 8

Compiler

Compiled 4343 to 1305 computations (70% saved)

regimes911.0ms (16.7%)

Accuracy

Total 0.1b remaining (50.8%)

Threshold costs 0.1b (50.8%)

Compiler

Compiled 14288 to 9061 computations (36.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`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	11	19
1	17	19
2	25	19
3	29	19
4	31	19
5	31	19

end1.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

sample1.0s (18.8%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
120.0ms	2802×	body	128	invalid

Compiler

Compiled 211 to 149 computations (29.4% saved)

Details

analyze755.0ms (13.8%)

sample29.0ms (0.5%)

simplify84.0ms (1.5%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite79.0ms (1.4%)

series90.0ms (1.7%)

simplify100.0ms (1.8%)

prune36.0ms (0.7%)

localize8.0ms (0.2%)

rewrite118.0ms (2.2%)

series100.0ms (1.8%)

simplify119.0ms (2.2%)

prune59.0ms (1.1%)

localize15.0ms (0.3%)

rewrite158.0ms (2.9%)

series170.0ms (3.1%)

simplify131.0ms (2.4%)

prune84.0ms (1.5%)

localize13.0ms (0.2%)

rewrite495.0ms (9.1%)

series415.0ms (7.6%)

simplify279.0ms (5.1%)

prune165.0ms (3%)

regimes911.0ms (16.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (18.8%)

Profiling