Details

analyze1.5s (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

915×	`neg-mul-1_binary64`
771×	`neg-sub0_binary64`
526×	`div-sub_binary64`
440×	`associate--r+_binary64`
408×	`distribute-frac-neg_binary64`
358×	`distribute-rgt-in_binary64`
331×	`unsub-neg_binary64`
323×	`distribute-neg-out_binary64`
300×	`sub-neg_binary64`
264×	`remove-double-neg_binary64`
260×	`associate-+l-_binary64`
235×	`distribute-lft-in_binary64`
225×	`+-commutative_binary64`
183×	`associate-+r+_binary64`
158×	`sub0-neg_binary64` `associate-+l+_binary64`
114×	`distribute-rgt-neg-out_binary64`
97×	`associate--l+_binary64`
88×	`*-commutative_binary64`
81×	`distribute-lft-neg-out_binary64`
77×	`associate-+r-_binary64`
60×	`cancel-sign-sub-inv_binary64`
48×	`associate--r-_binary64`
47×	`div0_binary64`
46×	`mul0-rgt_binary64`
45×	`distribute-neg-frac_binary64`
43×	`associate-r_binary64`
39×	`distribute-rgt-neg-in_binary64`
38×	`distribute-neg-in_binary64`
36×	`mul0-lft_binary64` `distribute-lft-neg-in_binary64`
30×	`+-rgt-identity_binary64` `associate-/l*_binary64`
29×	`associate-l_binary64`
28×	`--rgt-identity_binary64`
18×	`associate--l-_binary64`
16×	`distribute-rgt-out--_binary64`
10×	`distribute-lft1-in_binary64`
8×	`*-lft-identity_binary64`
4×	`+-lft-identity_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_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-rgt1-in_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-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	400
1	187	400
2	309	400
3	528	400
4	826	400
5	1830	400
6	3132	400
7	4225	400
8	4544	400
9	4900	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

920×	`times-frac_binary64`
546×	`neg-mul-1_binary64`
543×	`div-sub_binary64`
509×	`neg-sub0_binary64`
505×	`sub-neg_binary64`
447×	`associate-/l*_binary64`
419×	`distribute-frac-neg_binary64`
284×	`distribute-rgt-neg-in_binary64`
233×	`associate-/r*_binary64`
227×	`unsub-neg_binary64`
223×	`distribute-lft-neg-in_binary64`
211×	`distribute-neg-frac_binary64`
167×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
131×	`distribute-rgt-neg-out_binary64`
124×	`distribute-lft-neg-out_binary64`
92×	`distribute-neg-out_binary64`
83×	`distribute-lft-in_binary64`
74×	`associate--r+_binary64`
71×	`remove-double-neg_binary64`
67×	`associate-r_binary64`
54×	`associate--l-_binary64`
51×	`distribute-neg-in_binary64` `*-commutative_binary64`
49×	`associate-l_binary64`
48×	`associate-/r/_binary64`
47×	`associate--r-_binary64`
44×	`associate-+l-_binary64`
42×	`/-rgt-identity_binary64`
37×	`+-commutative_binary64`
32×	`associate--l+_binary64`
31×	`*-lft-identity_binary64` `sub0-neg_binary64`
30×	`associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
29×	`div0_binary64`
23×	`*-rgt-identity_binary64`
22×	`mul0-rgt_binary64` `associate-*l/_binary64`
21×	`mul0-lft_binary64`
16×	`associate-*r/_binary64`
14×	`+-lft-identity_binary64` `associate-/l/_binary64`
13×	`remove-double-div_binary64`
12×	`mul-1-neg_binary64`
11×	`distribute-rgt-out--_binary64`
6×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
4×	`distribute-lft-out--_binary64`
2×	`*-inverses_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
1×	`1-exp_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` `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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	24	25
2	44	25
3	81	25
4	121	25
5	197	25
6	313	25
7	562	25
8	1021	25
9	3344	25
10	4156	25
11	4764	25
12	4854	25

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

22.9b

Counts

1 → 1

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.0b	(+.f64 y (*.f64 z (-.f64 b y)))
1.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
22.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite211.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

22.8b

Rules

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

Counts

4 → 99

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
4.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

Compiler

Compiled 2637 to 413 computations (84.3% saved)

series569.0ms (3.4%)

Error

0.5b

Counts

4 → 113

Calls

4 calls:

351.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
63.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
36.0ms	(+.f64 y (*.f64 z (-.f64 b y)))
29.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 9122 to 5748 computations (37% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

709×	`times-frac_binary64`
487×	`associate-/r*_binary64`
435×	`associate-/l*_binary64`
152×	`+-commutative_binary64`
124×	`sub-neg_binary64`
111×	`*-commutative_binary64`
108×	`associate-+r+_binary64`
100×	`distribute-rgt-in_binary64`
89×	`associate-/r/_binary64`
87×	`distribute-lft-in_binary64`
70×	`distribute-neg-in_binary64`
65×	`cancel-sign-sub-inv_binary64`
51×	`sqr-pow_binary64`
49×	`neg-sub0_binary64`
45×	`neg-mul-1_binary64`
39×	`distribute-rgt-neg-in_binary64`
35×	`unswap-sqr_binary64`
30×	`associate-r_binary64`
28×	`associate-/l/_binary64`
26×	`distribute-lft-neg-in_binary64`
24×	`associate--l+_binary64`
22×	`associate--r+_binary64`
20×	`div-sub_binary64`
15×	`unpow3_binary64`
14×	`cube-mult_binary64`
13×	`distribute-lft-neg-out_binary64` `associate-l_binary64`
12×	`associate-*r/_binary64`
10×	`mul-1-neg_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `exp-prod_binary64`
7×	`cube-prod_binary64` `swap-sqr_binary64`
6×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
5×	`distribute-rgt-out_binary64`
4×	`difference-of-squares_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
2×	`log-div_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `unsub-neg_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `div-exp_binary64` `rec-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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

212 → 163

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	528	7044
1	1755	6749
2	5124	6749

prune125.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	150	13	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	13	164

Error

4.3b

Counts

164 → 13

Compiler

Compiled 4569 to 1404 computations (69.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
1.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
1.3b	(+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z))
22.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z)))

rewrite124.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z)))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

Compiler

Compiled 2877 to 385 computations (86.6% saved)

series561.0ms (3.4%)

Error

0.2b

Counts

4 → 113

Calls

4 calls:

349.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z)))
65.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
35.0ms	(+.f64 (+.f64 y (.f64 z b)) (.f64 (neg.f64 y) z))
31.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 9365 to 5888 computations (37.1% saved)

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

685×	`times-frac_binary64`
480×	`associate-/r*_binary64`
428×	`associate-/l*_binary64`
152×	`+-commutative_binary64`
125×	`sub-neg_binary64`
123×	`distribute-rgt-in_binary64`
113×	`*-commutative_binary64`
110×	`distribute-lft-in_binary64`
108×	`associate-+r+_binary64`
89×	`associate-/r/_binary64`
75×	`distribute-neg-in_binary64`
64×	`cancel-sign-sub-inv_binary64`
55×	`sqr-pow_binary64`
51×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
36×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
30×	`associate-r_binary64`
28×	`associate-/l/_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`associate--l+_binary64`
23×	`div-sub_binary64`
22×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
17×	`unpow3_binary64` `distribute-rgt-neg-out_binary64`
16×	`cube-mult_binary64`
14×	`associate-l_binary64`
12×	`associate-*r/_binary64`
11×	`exp-prod_binary64`
10×	`mul-1-neg_binary64` `swap-sqr_binary64`
9×	`cube-prod_binary64`
8×	`unpow2_binary64` `unpow1_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`distribute-rgt-out_binary64`
5×	`exp-sum_binary64`
4×	`prod-exp_binary64` `exp-diff_binary64` `difference-of-squares_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
2×	`log-div_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `-lft-identity_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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

207 → 167

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	534	7218
1	1793	6741
2	5217	6741

prune115.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	167	13	180

Error

4.3b

Counts

180 → 13

Compiler

Compiled 4778 to 1356 computations (71.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
1.3b	(+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z))
22.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z)))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`add-log-exp_binary64`
9×	`times-frac_binary64`
8×	`associate-+r+_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `sum-log_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `cbrt-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `distribute-lft-neg-out_binary64` `+-commutative_binary64` `sub-neg_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `unsub-neg_binary64` `associate-+l+_binary64` `pow1/3_binary64`

Counts

4 → 75

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z)))
7.0ms	(+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3177 to 322 computations (89.9% saved)

series589.0ms (3.6%)

Error

4.3b

Counts

4 → 101

Calls

4 calls:

373.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z)))
71.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
44.0ms	(+.f64 (+.f64 y (.f64 z b)) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) z))
17.0ms	(cbrt.f64 y)

Compiler

Compiled 9678 to 6016 computations (37.8% saved)

simplify175.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
430×	`associate-/r*_binary64`
397×	`associate-/l*_binary64`
177×	`div-sub_binary64`
154×	`+-commutative_binary64`
122×	`sub-neg_binary64`
114×	`distribute-rgt-in_binary64`
109×	`associate-+r+_binary64`
108×	`distribute-lft-in_binary64`
100×	`*-commutative_binary64`
81×	`associate-/r/_binary64`
74×	`distribute-neg-in_binary64`
69×	`cancel-sign-sub-inv_binary64`
56×	`sqr-pow_binary64`
53×	`exp-prod_binary64`
46×	`neg-sub0_binary64`
41×	`cube-prod_binary64` `neg-mul-1_binary64`
39×	`associate-/l/_binary64`
34×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
28×	`distribute-lft-neg-in_binary64`
26×	`associate--l+_binary64`
25×	`associate-r_binary64`
22×	`associate--r+_binary64`
19×	`unpow3_binary64`
18×	`cube-mult_binary64`
15×	`log-prod_binary64`
14×	`swap-sqr_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`exp-diff_binary64` `exp-sum_binary64` `distribute-rgt-out_binary64` `associate-*r/_binary64`
10×	`associate-l_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64`
7×	`unpow1/2_binary64` `mul-1-neg_binary64`
5×	`cube-neg_binary64`
4×	`log-pow_binary64` `prod-exp_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
3×	`log-div_binary64` `/-rgt-identity_binary64`
2×	`unpow1/3_binary64` `exp-neg_binary64` `cube-div_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-*l/_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-rec_binary64` `pow-base-0_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` `div-exp_binary64` `rec-exp_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-cbrt-cube_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` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

176 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	7086
1	1719	6422
2	4762	6362
3	5298	6362

prune103.0ms (0.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	146	13	159

Error

4.3b

Counts

159 → 13

Compiler

Compiled 4742 to 1204 computations (74.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.5b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (+.f64 y (*.f64 z (-.f64 b y)))))
19.4b	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
19.4b	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
19.4b	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))

rewrite140.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

30×	`cbrt-div_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`associate-r_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
19×	`cbrt-prod_binary64`
16×	`add-exp-log_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
12×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

29.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (+.f64 y (*.f64 z (-.f64 b y)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
6.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
6.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))

Compiler

Compiled 6202 to 464 computations (92.5% saved)

series1.4s (8.5%)

Error

4.3b

Counts

4 → 152

Calls

4 calls:

357.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))) (/.f64 (cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x))) (+.f64 y (*.f64 z (-.f64 b y)))))
291.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
288.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))
287.0ms	(cbrt.f64 (+.f64 (.f64 z (-.f64 t a)) (.f64 y x)))

Compiler

Compiled 28795 to 16816 computations (41.6% saved)

simplify250.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

761×	`associate-/l*_binary64`
243×	`*-commutative_binary64`
175×	`+-commutative_binary64`
174×	`sub-neg_binary64`
117×	`associate-+r+_binary64`
113×	`cancel-sign-sub-inv_binary64`
111×	`associate-/r/_binary64`
93×	`sqr-pow_binary64`
88×	`distribute-rgt-in_binary64`
84×	`distribute-lft-in_binary64`
81×	`associate-/r*_binary64`
79×	`distribute-neg-in_binary64`
71×	`times-frac_binary64` `associate-*r/_binary64`
69×	`neg-sub0_binary64`
67×	`neg-mul-1_binary64` `associate-l_binary64`
66×	`associate-r_binary64`
49×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
43×	`distribute-lft-neg-in_binary64`
39×	`associate-/l/_binary64`
35×	`associate--l+_binary64`
27×	`exp-prod_binary64` `associate--r+_binary64`
20×	`div-sub_binary64`
14×	`unpow2_binary64` `unpow1_binary64`
13×	`unpow3_binary64` `cube-mult_binary64`
12×	`log-div_binary64` `distribute-rgt-out_binary64`
10×	`unpow1/3_binary64`
9×	`log-prod_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`distribute-lft-neg-out_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64` `cube-prod_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64`
3×	`distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-+l+_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `distribute-rgt1-in_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` `unpow1/2_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` `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-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` `unsub-neg_binary64` `-lft-identity_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

254 → 223

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	793	15247
1	2701	14591
2	5255	14591

prune201.0ms (1.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	223	13	236

Error

4.3b

Counts

236 → 13

Compiler

Compiled 12484 to 2902 computations (76.8% saved)

regimes8.7s (52.7%)

Accuracy

Total 4.9b remaining (54.9%)

Threshold costs 0b (0%)

Compiler

Compiled 54663 to 36513 computations (33.2% saved)

bsearch11.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
9×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`if-if-or-not_binary64` `unpow1_binary64` `1-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `e-exp-1_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	192
1	60	192
2	75	192
3	83	192
4	87	192
5	86	192

end1.0ms (0%)

Compiler: Compiled 129 to 36 computations (72.1% saved)

sample1.2s (7.2%)

Algorithm

1×

intervals

Results

437.0ms	8000×	body	128	valid
25.0ms	417×	body	128	invalid

Compiler

Compiled 590 to 346 computations (41.4% saved)

Details

analyze1.5s (8.8%)

sample28.0ms (0.2%)

simplify95.0ms (0.6%)

prune1.0ms (0%)

localize12.0ms (0.1%)

rewrite211.0ms (1.3%)

series569.0ms (3.4%)

simplify131.0ms (0.8%)

prune125.0ms (0.8%)

localize14.0ms (0.1%)

rewrite124.0ms (0.8%)

series561.0ms (3.4%)

simplify137.0ms (0.8%)

prune115.0ms (0.7%)

localize21.0ms (0.1%)

rewrite116.0ms (0.7%)

series589.0ms (3.6%)

simplify175.0ms (1.1%)

prune103.0ms (0.6%)

localize22.0ms (0.1%)

rewrite140.0ms (0.8%)

series1.4s (8.5%)

simplify250.0ms (1.5%)

prune201.0ms (1.2%)

regimes8.7s (52.7%)

bsearch11.0ms (0.1%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.2s (7.2%)

Profiling