Details

analyze1.0s (13.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

870×	`div-sub_binary64`
742×	`sub-neg_binary64`
520×	`associate-/l*_binary64`
495×	`distribute-neg-frac_binary64`
422×	`neg-mul-1_binary64`
348×	`neg-sub0_binary64`
316×	`distribute-rgt-in_binary64`
304×	`times-frac_binary64` `distribute-frac-neg_binary64`
260×	`distribute-lft-in_binary64`
235×	`associate-/l/_binary64`
220×	`cancel-sign-sub-inv_binary64`
179×	`unsub-neg_binary64`
159×	`associate-/r/_binary64`
103×	`cancel-sign-sub_binary64` `+-commutative_binary64`
98×	`distribute-rgt-neg-in_binary64`
81×	`distribute-lft-neg-in_binary64`
76×	`*-commutative_binary64`
73×	`mul0-rgt_binary64` `mul0-lft_binary64`
69×	`sub0-neg_binary64`
62×	`-lft-identity_binary64` `associate-r*_binary64`
60×	`div0_binary64`
53×	`associate--r+_binary64`
52×	`associate-+l-_binary64`
45×	`distribute-neg-in_binary64`
32×	`associate-+r+_binary64`
31×	`+-rgt-identity_binary64`
27×	`associate-+r-_binary64` `associate-+l+_binary64`
24×	`remove-double-neg_binary64`
22×	`associate-l_binary64`
20×	`associate-/r*_binary64`
12×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
10×	`/-rgt-identity_binary64`
9×	`sqr-neg_binary64`
5×	`*-inverses_binary64`
2×	`mul-1-neg_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` `--rgt-identity_binary64` `+-lft-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` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt-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-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	176
1	143	176
2	259	176
3	495	176
4	1208	176
5	2475	176
6	4029	176
7	4736	176
8	4903	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify172.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1133×	`div-sub_binary64`
860×	`sub-neg_binary64`
750×	`associate-/r/_binary64`
699×	`cancel-sign-sub-inv_binary64`
610×	`distribute-rgt-neg-in_binary64`
548×	`neg-mul-1_binary64`
509×	`distribute-lft-neg-in_binary64`
350×	`unsub-neg_binary64`
337×	`neg-sub0_binary64`
322×	`distribute-neg-frac_binary64`
299×	`distribute-frac-neg_binary64`
230×	`*-commutative_binary64`
228×	`distribute-rgt-neg-out_binary64`
216×	`associate-/l*_binary64`
205×	`distribute-lft-neg-out_binary64`
194×	`distribute-rgt-in_binary64`
184×	`associate--r-_binary64`
163×	`distribute-lft-in_binary64`
155×	`times-frac_binary64`
152×	`associate--l-_binary64`
120×	`associate-/l/_binary64`
108×	`distribute-rgt-out_binary64`
104×	`distribute-rgt-out--_binary64`
100×	`distribute-neg-in_binary64`
97×	`associate--r+_binary64`
96×	`+-commutative_binary64`
95×	`associate-/r*_binary64`
93×	`remove-double-neg_binary64`
87×	`distribute-neg-out_binary64`
86×	`associate-*l/_binary64`
79×	`+-lft-identity_binary64`
75×	`div0_binary64`
73×	`associate-+r-_binary64`
57×	`mul0-rgt_binary64`
56×	`mul0-lft_binary64`
55×	`associate-*r/_binary64`
46×	`associate-r_binary64` `associate-+l-_binary64`
43×	`associate-l_binary64`
39×	`*-lft-identity_binary64`
37×	`mul-1-neg_binary64`
33×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
27×	`sub0-neg_binary64`
16×	`+-rgt-identity_binary64`
15×	`remove-double-div_binary64` `associate-+l+_binary64`
14×	`--rgt-identity_binary64`
12×	`distribute-lft-out--_binary64`
11×	`associate-+r+_binary64`
10×	`associate--l+_binary64`
3×	`distribute-lft-out_binary64`
2×	`sqr-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64` `*-inverses_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` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	26	16
2	49	16
3	86	16
4	166	16
5	293	16
6	570	16
7	1559	16
8	2366	16
9	2268	16
10	2532	16
11	2753	16
12	2839	16
13	3034	16
14	4109	16
15	4495	16
16	4543	16
17	4973	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 t (*.f64 a z))
10.1b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

10.3b

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `associate-/l/_binary64` `associate-/r/_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 → 44

Calls

2 calls:

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

Compiler

Compiled 936 to 165 computations (82.4% saved)

series153.0ms (2%)

Error

2.3b

Counts

2 → 52

Calls

2 calls:

109.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
26.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 1898 to 1393 computations (26.6% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

918×	`times-frac_binary64`
578×	`associate-/l*_binary64`
323×	`cancel-sign-sub-inv_binary64`
179×	`associate-/l/_binary64`
177×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
130×	`associate-/r/_binary64`
101×	`sub-neg_binary64`
93×	`distribute-rgt-neg-in_binary64`
82×	`distribute-lft-neg-in_binary64`
74×	`associate-/r*_binary64`
71×	`div-sub_binary64`
62×	`unswap-sqr_binary64` `distribute-neg-frac_binary64`
57×	`associate-l_binary64`
49×	`associate-r_binary64`
45×	`+-commutative_binary64`
44×	`*-commutative_binary64`
42×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`
33×	`associate--l+_binary64`
30×	`distribute-rgt-out_binary64`
28×	`sqr-pow_binary64`
27×	`distribute-lft-neg-out_binary64`
26×	`associate--r+_binary64`
22×	`associate-*l/_binary64` `associate-+l+_binary64`
20×	`distribute-neg-in_binary64`
17×	`exp-prod_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`associate-*r/_binary64` `associate-+r+_binary64`
13×	`unsub-neg_binary64`
9×	`*-rgt-identity_binary64`
6×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`exp-sum_binary64` `difference-of-squares_binary64`
4×	`unpow3_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-prod_binary64` `distribute-rgt-out--_binary64`
3×	`log-div_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `swap-sqr_binary64`
2×	`mul-1-neg_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `cube-div_binary64` `-lft-identity_binary64` `+-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

96 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2215
1	421	2131
2	1456	2011
3	5054	2011

prune53.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	72	10	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	11	83

Error

2.4b

Counts

83 → 11

Compiler

Compiled 1240 to 361 computations (70.9% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.2b	(/.f64 1 (-.f64 t (*.f64 z a)))
10.1b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite118.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

2.4b

Rules

26×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `times-frac_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`
15×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`div-exp_binary64` `prod-exp_binary64` `associate-/r/_binary64`
3×	`unswap-sqr_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `un-div-inv_binary64` `associate-r/_binary64` `-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 87

Calls

3 calls:

11.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 1893 to 576 computations (69.6% saved)

series204.0ms (2.7%)

Error

2.4b

Counts

3 → 75

Calls

3 calls:

107.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
51.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
28.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 2827 to 2165 computations (23.4% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-/l*_binary64`
354×	`cancel-sign-sub-inv_binary64`
279×	`distribute-rgt-in_binary64`
263×	`distribute-lft-in_binary64`
196×	`associate-/r/_binary64`
193×	`associate-/l/_binary64`
127×	`distribute-rgt-neg-in_binary64`
121×	`associate-l_binary64`
112×	`sub-neg_binary64`
110×	`distribute-lft-neg-in_binary64`
101×	`associate-r_binary64`
92×	`times-frac_binary64`
91×	`associate-/r*_binary64`
80×	`*-commutative_binary64`
68×	`unswap-sqr_binary64`
61×	`distribute-neg-frac_binary64`
59×	`+-commutative_binary64`
56×	`div-sub_binary64`
49×	`neg-sub0_binary64`
46×	`neg-mul-1_binary64`
45×	`associate-*r/_binary64`
42×	`sqr-pow_binary64`
40×	`distribute-lft-neg-out_binary64`
33×	`associate--l+_binary64`
32×	`distribute-neg-in_binary64`
31×	`distribute-rgt-out_binary64` `associate-*l/_binary64`
30×	`*-rgt-identity_binary64`
28×	`associate--r+_binary64`
27×	`exp-prod_binary64`
26×	`associate-+l+_binary64`
25×	`distribute-rgt-neg-out_binary64`
20×	`*-lft-identity_binary64` `associate-+r+_binary64`
18×	`unsub-neg_binary64`
14×	`exp-sum_binary64`
9×	`cube-prod_binary64`
8×	`/-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`unpow3_binary64` `cube-mult_binary64` `swap-sqr_binary64`
6×	`exp-diff_binary64` `associate-+r-_binary64`
5×	`cube-unmult_binary64` `cube-div_binary64` `mul-1-neg_binary64`
4×	`log-prod_binary64` `distribute-lft-out_binary64`
3×	`log-div_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
2×	`log-rec_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_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` `pow-plus_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` `exp-neg_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` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-lft1-in_binary64` `associate--l-_binary64`

Counts

162 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3398
1	526	3139
2	1903	3019
3	5200	3019

prune57.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	121	11	132

Error

1.2b

Counts

132 → 11

Compiler

Compiled 1478 to 489 computations (66.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.7b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
9.9b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))

rewrite146.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

90×	`times-frac_binary64`
55×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`div-inv_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 128

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
6.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))
3.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 3372 to 812 computations (75.9% saved)

series264.0ms (3.5%)

Error

1.2b

Counts

3 → 82

Calls

3 calls:

110.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
99.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))
27.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 3273 to 2416 computations (26.2% saved)

simplify228.0ms (3%)

Algorithm

1×	egg-herbie

Rules

473×	`cancel-sign-sub-inv_binary64`
316×	`distribute-rgt-in_binary64`
274×	`div-sub_binary64`
258×	`neg-mul-1_binary64`
172×	`distribute-rgt-neg-in_binary64`
153×	`distribute-lft-neg-in_binary64` `associate-/l*_binary64`
152×	`sub-neg_binary64`
134×	`times-frac_binary64`
133×	`associate-/r/_binary64`
118×	`associate-/r*_binary64`
107×	`unswap-sqr_binary64`
103×	`distribute-neg-frac_binary64`
95×	`*-commutative_binary64`
93×	`exp-prod_binary64` `associate-l_binary64`
90×	`associate-r_binary64`
84×	`associate-*l/_binary64`
81×	`associate-/l/_binary64`
64×	`neg-sub0_binary64` `+-commutative_binary64`
55×	`associate-*r/_binary64`
54×	`cube-prod_binary64`
45×	`distribute-lft-neg-out_binary64` `associate--l+_binary64`
44×	`sqr-pow_binary64`
40×	`distribute-lft-in_binary64`
37×	`*-rgt-identity_binary64` `associate--r+_binary64`
33×	`unpow3_binary64`
29×	`distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
28×	`distribute-rgt-out_binary64`
26×	`associate-+l+_binary64`
24×	`unsub-neg_binary64`
22×	`exp-sum_binary64` `associate-+r+_binary64`
18×	`exp-diff_binary64`
15×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
12×	`cube-div_binary64`
11×	`cube-mult_binary64`
10×	`cube-unmult_binary64`
9×	`log-div_binary64` `distribute-rgt-out--_binary64`
8×	`difference-of-squares_binary64`
7×	`log-prod_binary64` `swap-sqr_binary64`
6×	`distribute-lft-out_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate--r-_binary64`
4×	`log-rec_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
3×	`sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64`
2×	`exp-neg_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `*-inverses_binary64` `pow-sqr_binary64` `cancel-sign-sub_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` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

210 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	5712
1	706	5404
2	2581	5227
3	4352	5227
4	4992	5227
5	4977	5227

prune100.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	6	8
Picked	0	1	1
Done	1	1	2
Total	172	10	182

Error

0.3b

Counts

182 → 10

Compiler

Compiled 2795 to 719 computations (74.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 z y)))))
7.2b	(cbrt.f64 (-.f64 x (*.f64 z y)))
7.2b	(cbrt.f64 (-.f64 x (*.f64 y z)))
7.2b	(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite121.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

60×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
27×	`cbrt-prod_binary64`
24×	`associate-/r*_binary64`
22×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 115

Calls

4 calls:

16.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 z y)))))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
2.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 4653 to 519 computations (88.8% saved)

series340.0ms (4.5%)

Error

0.3b

Counts

4 → 82

Calls

4 calls:

121.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (-.f64 t (.f64 z a)) (cbrt.f64 (-.f64 x (*.f64 z y)))))
59.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
58.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
57.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 6303 to 4119 computations (34.7% saved)

simplify372.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/r/_binary64`
246×	`cancel-sign-sub-inv_binary64`
191×	`associate-/l*_binary64`
163×	`distribute-rgt-neg-in_binary64`
162×	`associate-/l/_binary64`
155×	`sub-neg_binary64`
154×	`distribute-lft-neg-in_binary64`
136×	`distribute-rgt-in_binary64`
132×	`associate-*l/_binary64`
128×	`*-commutative_binary64`
127×	`times-frac_binary64`
125×	`distribute-lft-in_binary64`
122×	`associate-l_binary64`
117×	`distribute-neg-frac_binary64`
108×	`associate-r_binary64`
100×	`associate-/r*_binary64`
94×	`unswap-sqr_binary64`
72×	`div-sub_binary64`
70×	`neg-sub0_binary64` `associate-*r/_binary64`
64×	`sqr-pow_binary64`
62×	`neg-mul-1_binary64`
56×	`+-commutative_binary64`
41×	`*-rgt-identity_binary64`
35×	`associate--l+_binary64`
31×	`log-prod_binary64`
27×	`log-div_binary64` `distribute-neg-in_binary64`
26×	`associate--r+_binary64`
23×	`unsub-neg_binary64`
22×	`exp-sum_binary64` `distribute-rgt-out_binary64`
20×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
17×	`unpow3_binary64`
14×	`associate-+r+_binary64`
13×	`exp-prod_binary64`
12×	`distribute-rgt-neg-out_binary64`
10×	`*-lft-identity_binary64`
9×	`cube-prod_binary64`
8×	`unpow1/3_binary64` `cube-mult_binary64` `mul-1-neg_binary64`
7×	`swap-sqr_binary64` `associate--r-_binary64`
6×	`pow-plus_binary64` `cube-unmult_binary64` `cube-div_binary64` `distribute-neg-out_binary64`
5×	`log-pow_binary64` `log-rec_binary64` `exp-diff_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
2×	`rem-3cbrt-lft_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `rem-cube-cbrt_binary64` `sub0-neg_binary64` `*-inverses_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

197 → 173

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	325	6955
1	869	6103
2	2819	5977
3	4974	5977
4	4998	5977
5	4999	5977
6	4999	5977
7	4999	5941
8	4961	5941

prune102.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	173	10	183

Error

0.3b

Counts

183 → 10

Compiler

Compiled 4862 to 791 computations (83.7% saved)

regimes2.8s (36.6%)

Accuracy

Total 1.5b remaining (79.7%)

Threshold costs 0b (0%)

Compiler

Compiled 22998 to 15756 computations (31.5% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`sub-neg_binary64` `+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`not-or` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
3×	`not-not` `if-if-or-not_binary64` `if-not_binary64`
2×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`not-and` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `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-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_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	142
1	48	128
2	69	118
3	86	116
4	95	116
5	99	116
6	99	116
7	100	116
8	100	116

end1.0ms (0%)

Compiler: Compiled 77 to 28 computations (63.6% saved)

sample1.0s (13.3%)

Algorithm

1×

intervals

Results

329.0ms	8000×	body	128	valid
33.0ms	747×	body	128	invalid

Compiler

Compiled 357 to 227 computations (36.4% saved)

Details

analyze1.0s (13.5%)

sample25.0ms (0.3%)

simplify172.0ms (2.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite71.0ms (0.9%)

series153.0ms (2%)

simplify68.0ms (0.9%)

prune53.0ms (0.7%)

localize11.0ms (0.1%)

rewrite118.0ms (1.6%)

series204.0ms (2.7%)

simplify97.0ms (1.3%)

prune57.0ms (0.8%)

localize11.0ms (0.2%)

rewrite146.0ms (1.9%)

series264.0ms (3.5%)

simplify228.0ms (3%)

prune100.0ms (1.3%)

localize16.0ms (0.2%)

rewrite121.0ms (1.6%)

series340.0ms (4.5%)

simplify372.0ms (4.9%)

prune102.0ms (1.4%)

regimes2.8s (36.6%)

bsearch7.0ms (0.1%)

simplify11.0ms (0.1%)

end1.0ms (0%)

sample1.0s (13.3%)

Profiling