Details

analyze5.1s (8.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

864×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
241×	`associate-+l-_binary64`
121×	`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` `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` `1-exp_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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `-commutative_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2029	17182
1	5274	17182
0	16	16
1	16	16

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample738.0ms (1.2%)

Algorithm

1×

intervals

Results

437.0ms	2127×	body	128	invalid
53.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

565×	`distribute-rgt-in_binary64`
529×	`distribute-lft-in_binary64`
513×	`cancel-sign-sub-inv_binary64`
453×	`neg-sub0_binary64`
437×	`neg-mul-1_binary64`
217×	`distribute-rgt-neg-in_binary64`
210×	`sub-neg_binary64`
189×	`distribute-neg-in_binary64`
170×	`distribute-lft-neg-out_binary64`
161×	`distribute-lft-neg-in_binary64`
160×	`distribute-rgt-neg-out_binary64`
150×	`unsub-neg_binary64`
139×	`associate-+l+_binary64`
116×	`associate-r_binary64`
109×	`associate-+r+_binary64`
102×	`associate-l_binary64`
80×	`*-commutative_binary64`
66×	`associate--l+_binary64`
58×	`associate--r+_binary64`
48×	`+-commutative_binary64`
39×	`associate-+l-_binary64`
36×	`associate-+r-_binary64`
30×	`remove-double-neg_binary64`
27×	`cancel-sign-sub_binary64`
22×	`distribute-neg-out_binary64`
19×	`+-rgt-identity_binary64`
14×	`sub0-neg_binary64`
11×	`distribute-lft-out_binary64` `associate--l-_binary64`
5×	`distribute-rgt-out_binary64` `associate--r-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	142
1	169	142
2	425	142
3	1945	142
4	4605	142
5	5169	142

prune4.0ms (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

25.0b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
8.8b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite538.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
8×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 12680 to 1027 computations (91.9% saved)

series1.1s (1.9%)

Error

14.2b

Counts

4 → 192

Calls

4 calls:

242.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
241.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
235.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
233.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 34131 to 20006 computations (41.4% saved)

simplify243.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

753×	`associate-l_binary64`
356×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`
254×	`*-commutative_binary64`
172×	`cancel-sign-sub-inv_binary64`
137×	`associate-r_binary64`
102×	`distribute-rgt-neg-in_binary64`
95×	`sub-neg_binary64`
80×	`distribute-lft-neg-in_binary64`
60×	`exp-prod_binary64`
56×	`neg-sub0_binary64`
52×	`sqr-pow_binary64`
51×	`+-commutative_binary64`
48×	`cube-prod_binary64` `neg-mul-1_binary64` `swap-sqr_binary64`
35×	`exp-sum_binary64`
32×	`unpow3_binary64` `cube-mult_binary64`
31×	`distribute-lft-neg-out_binary64`
24×	`distribute-rgt-out_binary64`
21×	`associate--l+_binary64` `associate--r+_binary64`
20×	`log-prod_binary64` `distribute-neg-in_binary64`
16×	`difference-of-squares_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`mul-1-neg_binary64`
8×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
4×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `div-exp_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

312 → 284

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	10568
1	1473	10208
2	4841	10208
3	4992	10208

prune653.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	264	20	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	20	285

Error

14.7b

Counts

285 → 20

Compiler

Compiled 12541 to 2254 computations (82% saved)

localize78.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.8b	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 y1 a)))
8.8b	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))
8.8b	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))
8.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite723.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

14.7b

Rules

11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `flip3--_binary64` `flip--_binary64` `*-un-lft-identity_binary64` `cbrt-prod_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `pow1/3_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 y1 a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))

Compiler

Compiled 8568 to 622 computations (92.7% saved)

series868.0ms (1.5%)

Error

14.2b

Counts

4 → 93

Calls

4 calls:

251.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
97.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))
96.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 a y1)))
94.0ms	(cbrt.f64 (-.f64 (.f64 y0 c) (.f64 y1 a)))

Compiler

Compiled 25148 to 13016 computations (48.2% saved)

simplify121.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

759×	`distribute-rgt-in_binary64`
312×	`cancel-sign-sub-inv_binary64`
246×	`associate-r_binary64`
238×	`associate-l_binary64`
229×	`distribute-rgt-neg-in_binary64`
209×	`distribute-lft-neg-in_binary64`
184×	`times-frac_binary64`
173×	`*-commutative_binary64`
97×	`distribute-lft-in_binary64`
95×	`sub-neg_binary64`
81×	`distribute-lft-neg-out_binary64`
80×	`sqr-pow_binary64`
78×	`distribute-rgt-out_binary64`
71×	`neg-sub0_binary64`
67×	`neg-mul-1_binary64`
58×	`distribute-rgt-neg-out_binary64`
49×	`exp-sum_binary64`
48×	`+-commutative_binary64`
39×	`distribute-neg-frac_binary64`
34×	`associate-/l*_binary64`
33×	`exp-prod_binary64`
32×	`distribute-lft-out_binary64`
21×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64`
19×	`unpow3_binary64` `cube-mult_binary64` `unsub-neg_binary64` `associate-/r*_binary64`
16×	`cube-prod_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `swap-sqr_binary64`
14×	`unswap-sqr_binary64`
12×	`exp-diff_binary64` `associate-*l/_binary64`
11×	`log-prod_binary64` `associate--l+_binary64`
10×	`div-sub_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64`
9×	`unpow1/3_binary64`
8×	`log-div_binary64` `pow-sqr_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+l+_binary64`
7×	`associate-+r+_binary64`
6×	`mul-1-neg_binary64`
4×	`log-rec_binary64` `cube-unmult_binary64` `remove-double-neg_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r/_binary64`
2×	`rem-3cbrt-lft_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_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` `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` `div-exp_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-+l-_binary64`

Counts

162 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	4436
1	676	4298
2	2311	4112
3	5191	4112

prune834.0ms (1.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	143	21	164

Error

14.7b

Counts

164 → 21

Compiler

Compiled 13132 to 2254 computations (82.8% saved)

localize75.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.8b	(.f64 (-.f64 (.f64 y0 b) (.f64 y1 i)) (-.f64 (.f64 x j) (*.f64 z k)))
8.8b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.9b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
9.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite1.2s (2%)

Algorithm

1×	rewrite-expression-head

Error

14.7b

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
8×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 y0 b) (.f64 y1 i)) (-.f64 (.f64 x j) (*.f64 z k)))
10.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 16600 to 1084 computations (93.5% saved)

series1.4s (2.4%)

Error

14.2b

Counts

4 → 192

Calls

4 calls:

262.0ms	(.f64 (-.f64 (.f64 y0 b) (.f64 y1 i)) (-.f64 (.f64 x j) (*.f64 z k)))
249.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
248.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
248.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

Compiler

Compiled 45576 to 21413 computations (53% saved)

simplify241.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-l_binary64`
355×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`
254×	`*-commutative_binary64`
172×	`cancel-sign-sub-inv_binary64`
137×	`associate-r_binary64`
101×	`distribute-rgt-neg-in_binary64`
96×	`sub-neg_binary64`
77×	`distribute-lft-neg-in_binary64`
60×	`exp-prod_binary64`
55×	`neg-sub0_binary64`
52×	`sqr-pow_binary64`
51×	`+-commutative_binary64`
48×	`cube-prod_binary64` `swap-sqr_binary64`
47×	`neg-mul-1_binary64`
35×	`exp-sum_binary64`
32×	`unpow3_binary64` `cube-mult_binary64`
31×	`distribute-lft-neg-out_binary64`
24×	`distribute-rgt-out_binary64`
21×	`associate--l+_binary64` `associate--r+_binary64`
20×	`log-prod_binary64` `distribute-neg-in_binary64`
16×	`difference-of-squares_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`mul-1-neg_binary64`
8×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
4×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `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` `div-exp_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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

312 → 284

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	10568
1	1472	10208
2	4839	10208
3	4997	10208

prune955.0ms (1.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	19	19
Picked	0	1	1
Done	0	1	1
Total	284	21	305

Error

14.7b

Counts

305 → 21

Compiler

Compiled 15753 to 2242 computations (85.8% saved)

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.8b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
8.8b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite1.1s (1.9%)

Algorithm

1×	rewrite-expression-head

Error

14.6b

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
8×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 14808 to 979 computations (93.4% saved)

series1.4s (2.4%)

Error

11.1b

Counts

4 → 192

Calls

4 calls:

257.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
256.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
253.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
250.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))

Compiler

Compiled 41124 to 21762 computations (47.1% saved)

simplify240.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-l_binary64`
355×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`
267×	`*-commutative_binary64`
184×	`cancel-sign-sub-inv_binary64`
147×	`associate-r_binary64`
109×	`sub-neg_binary64`
104×	`distribute-rgt-neg-in_binary64`
83×	`distribute-lft-neg-in_binary64`
63×	`neg-sub0_binary64`
60×	`exp-prod_binary64`
56×	`+-commutative_binary64`
55×	`neg-mul-1_binary64`
52×	`sqr-pow_binary64`
48×	`swap-sqr_binary64`
32×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64`
31×	`distribute-lft-neg-out_binary64`
27×	`associate--l+_binary64` `associate--r+_binary64`
26×	`distribute-neg-in_binary64`
24×	`distribute-rgt-out_binary64`
20×	`log-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`exp-diff_binary64` `cube-unmult_binary64`
11×	`exp-sum_binary64`
10×	`mul-1-neg_binary64`
8×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
4×	`*-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` `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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

312 → 290

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	528	10568
1	1518	10220
2	4925	10220
3	4989	10220

prune1.0s (1.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	286	4	290
Fresh	0	18	18
Picked	1	0	1
Done	0	2	2
Total	287	24	311

Error

11.4b

Counts

311 → 24

Compiler

Compiled 12838 to 938 computations (92.7% saved)

regimes16.0s (26.9%)

Accuracy

Total 13.6b remaining (49.8%)

Threshold costs 0b (0%)

Compiler

Compiled 412454 to 250438 computations (39.3% saved)

bsearch1.1s (1.9%)

Steps

Iters	Range		Point
3	3.166327019379394e+41	1.8491872362421417e+44	6.863656870829721e+41
7	7.070612485379318e-228	2.0083896414786587e-226	1.8484612008254624e-226
6	-1.7371554786440902e-162	-1.612335356451805e-163	-9.072756840376147e-163
7	-1.303417348324949e+132	-8.057756658159761e+121	-1.9180722217939058e+123

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify156.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

435×	`neg-mul-1_binary64` `neg-sub0_binary64`
400×	`distribute-rgt-neg-in_binary64`
340×	`unsub-neg_binary64`
317×	`cancel-sign-sub-inv_binary64`
285×	`distribute-lft-neg-out_binary64`
279×	`distribute-lft-neg-in_binary64`
267×	`distribute-rgt-neg-out_binary64`
257×	`*-commutative_binary64`
241×	`distribute-neg-out_binary64`
202×	`sub-neg_binary64` `distribute-neg-in_binary64`
171×	`+-commutative_binary64`
126×	`remove-double-neg_binary64`
71×	`*-lft-identity_binary64`
62×	`cancel-sign-sub_binary64`
14×	`*-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` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	782
1	308	782
2	442	782
3	606	782
4	782	782
5	943	782
6	1167	782
7	1419	782
8	1678	782
9	1923	782
10	2117	782
11	2160	782
12	2240	782
13	2312	782
14	2553	782
15	2644	782
16	2713	782
17	2750	782
18	2763	782
19	2765	782
20	2765	782
21	2761	782

end3.0ms (0%)

Compiler: Compiled 523 to 131 computations (75% saved)

sample23.2s (39%)

Algorithm

1×

intervals

Results

13.3s	65226×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 3921 to 2058 computations (47.5% saved)

Details

analyze5.1s (8.7%)

sample738.0ms (1.2%)

simplify48.0ms (0.1%)

prune4.0ms (0%)

localize68.0ms (0.1%)

rewrite538.0ms (0.9%)

series1.1s (1.9%)

simplify243.0ms (0.4%)

prune653.0ms (1.1%)

localize78.0ms (0.1%)

rewrite723.0ms (1.2%)

series868.0ms (1.5%)

simplify121.0ms (0.2%)

prune834.0ms (1.4%)

localize75.0ms (0.1%)

rewrite1.2s (2%)

series1.4s (2.4%)

simplify241.0ms (0.4%)

prune955.0ms (1.6%)

localize80.0ms (0.1%)

rewrite1.1s (1.9%)

series1.4s (2.4%)

simplify240.0ms (0.4%)

prune1.0s (1.7%)

regimes16.0s (26.9%)

bsearch1.1s (1.9%)

simplify156.0ms (0.3%)

end3.0ms (0%)

sample23.2s (39%)

Profiling