Details

analyze760.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

531×	`div-sub_binary64`
513×	`distribute-rgt-in_binary64`
452×	`neg-mul-1_binary64`
446×	`distribute-lft-in_binary64`
365×	`neg-sub0_binary64`
329×	`sub-neg_binary64`
256×	`cancel-sign-sub-inv_binary64`
166×	`distribute-frac-neg_binary64`
133×	`distribute-rgt-neg-out_binary64`
125×	`+-commutative_binary64`
107×	`distribute-neg-in_binary64`
96×	`distribute-lft-neg-out_binary64` `associate-/l*_binary64`
93×	`distribute-neg-frac_binary64`
70×	`distribute-rgt-neg-in_binary64`
67×	`associate-+l-_binary64`
58×	`unsub-neg_binary64` `associate-/r/_binary64`
56×	`associate-+l+_binary64`
55×	`associate--r+_binary64` `*-commutative_binary64`
43×	`sub0-neg_binary64` `associate-+r-_binary64`
41×	`associate-/l/_binary64`
38×	`distribute-rgt-out_binary64`
28×	`associate-+r+_binary64`
27×	`associate-/r*_binary64`
26×	`+-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
24×	`distribute-rgt-out--_binary64`
23×	`distribute-neg-out_binary64`
16×	`distribute-lft-out_binary64`
14×	`times-frac_binary64` `associate--r-_binary64` `associate--l+_binary64`
13×	`associate-*r/_binary64`
10×	`remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_binary64`
7×	`--rgt-identity_binary64` `associate--l-_binary64`
4×	`mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-l/_binary64` `associate-l_binary64` `associate-r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	175
1	98	175
2	183	175
3	396	175
4	845	175
5	1777	175
6	4573	175
7	5124	175
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

553×	`neg-mul-1_binary64`
548×	`neg-sub0_binary64`
509×	`times-frac_binary64`
367×	`unsub-neg_binary64`
336×	`associate-/l*_binary64`
316×	`distribute-neg-frac_binary64`
290×	`div-sub_binary64`
241×	`distribute-rgt-in_binary64`
233×	`sub-neg_binary64`
231×	`distribute-frac-neg_binary64`
210×	`distribute-lft-in_binary64`
190×	`associate-r_binary64`
164×	`distribute-neg-out_binary64`
162×	`associate-/r_binary64` `associate-l*_binary64`
149×	`cancel-sign-sub-inv_binary64`
147×	`cancel-sign-sub_binary64`
129×	`distribute-neg-in_binary64`
101×	`associate-*l/_binary64`
91×	`associate-*r/_binary64`
82×	`associate-/l/_binary64`
76×	`*-commutative_binary64`
68×	`distribute-rgt-neg-in_binary64`
67×	`distribute-lft-neg-out_binary64`
64×	`associate-/r/_binary64`
58×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
42×	`associate--r+_binary64` `+-commutative_binary64`
37×	`associate-+l+_binary64`
36×	`associate-+r+_binary64`
34×	`/-rgt-identity_binary64`
33×	`*-lft-identity_binary64` `mul0-rgt_binary64`
32×	`mul0-lft_binary64` `associate--r-_binary64` `associate-+l-_binary64`
29×	`associate--l+_binary64`
27×	`associate--l-_binary64`
25×	`*-rgt-identity_binary64` `associate-+r-_binary64`
24×	`sub0-neg_binary64`
21×	`div0_binary64`
20×	`remove-double-neg_binary64`
10×	`+-rgt-identity_binary64`
8×	`remove-double-div_binary64`
7×	`distribute-rgt-out_binary64`
6×	`distribute-rgt-out--_binary64`
5×	`mul-1-neg_binary64`
4×	`+-lft-identity_binary64` `swap-sqr_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
2×	`sqr-neg_binary64` `*-inverses_binary64`
1×	`1-exp_binary64` `--rgt-identity_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` `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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	26	25
2	41	25
3	78	25
4	165	25
5	344	25
6	1012	25
7	3230	25
8	4176	25
9	4892	25

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

6.4b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(-.f64 (*.f64 y z) x)
0.3b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.4b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite203.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

44×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`distribute-lft-out_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l_binary64` `associate-/r_binary64`
6×	`cancel-sign-sub-inv_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64`
3×	`div-sub_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64`
1×	`associate-+r-_binary64`

Counts

4 → 101

Calls

4 calls:

15.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)
4.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 2634 to 713 computations (72.9% saved)

series356.0ms (4.1%)

Error

0.5b

Counts

4 → 101

Calls

4 calls:

148.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
90.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
28.0ms	(-.f64 (*.f64 t z) x)
27.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 5326 to 3718 computations (30.2% saved)

simplify188.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

362×	`sub-neg_binary64`
341×	`times-frac_binary64`
337×	`div-sub_binary64`
298×	`associate-/l*_binary64`
227×	`+-commutative_binary64`
207×	`associate-+r+_binary64`
188×	`associate-/r*_binary64`
180×	`associate-+l+_binary64`
136×	`associate--l+_binary64`
112×	`associate--r+_binary64`
99×	`associate-l_binary64`
93×	`unswap-sqr_binary64`
90×	`distribute-rgt-in_binary64` `associate-r_binary64`
80×	`neg-mul-1_binary64` `neg-sub0_binary64`
75×	`distribute-lft-in_binary64`
74×	`*-commutative_binary64`
73×	`unsub-neg_binary64`
56×	`associate-/r/_binary64`
47×	`exp-prod_binary64`
45×	`associate-*l/_binary64`
41×	`sqr-pow_binary64`
40×	`associate-/l/_binary64`
38×	`distribute-neg-in_binary64`
33×	`associate-*r/_binary64`
25×	`*-rgt-identity_binary64`
24×	`cube-prod_binary64`
21×	`cancel-sign-sub-inv_binary64`
18×	`distribute-neg-frac_binary64`
16×	`*-lft-identity_binary64`
15×	`cube-unmult_binary64`
14×	`exp-diff_binary64`
13×	`exp-sum_binary64`
12×	`unpow3_binary64`
10×	`/-rgt-identity_binary64`
9×	`cube-mult_binary64` `distribute-rgt-neg-in_binary64`
8×	`difference-of-squares_binary64`
7×	`cube-div_binary64`
6×	`distribute-lft-neg-in_binary64`
5×	`log-div_binary64` `pow-plus_binary64`
4×	`log-prod_binary64` `distribute-lft-neg-out_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `*-inverses_binary64` `swap-sqr_binary64` `associate--r-_binary64`
2×	`div-exp_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

202 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5888
1	1090	5685
2	4115	5640
3	4868	5640
4	5405	5640

prune275.0ms (3.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	6	142

Error

0.5b

Counts

142 → 6

Compiler

Compiled 3346 to 1032 computations (69.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z y) x)
0.1b	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))))
0.3b	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))))
9.4b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite301.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

166×	`*-un-lft-identity_binary64`
155×	`times-frac_binary64`
82×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`distribute-lft-out_binary64`
29×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
10×	`associate-/l*_binary64`
9×	`div-exp_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64`
4×	`associate-/l/_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
2×	`1-exp_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 198

Calls

4 calls:

19.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))))
16.0ms	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))))
9.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 z y) x)

Compiler

Compiled 5765 to 1811 computations (68.6% saved)

series737.0ms (8.5%)

Error

0.5b

Counts

4 → 110

Calls

4 calls:

390.0ms	(/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))))
147.0ms	(/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))))
90.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
27.0ms	(-.f64 (*.f64 z y) x)

Compiler

Compiled 10511 to 6994 computations (33.5% saved)

simplify281.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
535×	`associate-/l*_binary64`
402×	`associate-/r*_binary64`
195×	`associate-/r/_binary64`
156×	`sub-neg_binary64`
135×	`+-commutative_binary64`
126×	`distribute-rgt-in_binary64`
111×	`distribute-lft-in_binary64`
106×	`associate-/l/_binary64`
83×	`associate-+r+_binary64`
64×	`*-commutative_binary64`
58×	`distribute-neg-in_binary64`
47×	`neg-mul-1_binary64`
46×	`neg-sub0_binary64`
34×	`sqr-pow_binary64` `associate--l+_binary64`
30×	`div-sub_binary64` `cancel-sign-sub-inv_binary64`
27×	`distribute-neg-frac_binary64`
25×	`exp-prod_binary64`
24×	`associate--r+_binary64`
17×	`unswap-sqr_binary64`
15×	`associate-*r/_binary64`
13×	`log-div_binary64` `distribute-rgt-neg-in_binary64` `associate-r_binary64`
11×	`/-rgt-identity_binary64`
10×	`associate-l_binary64`
9×	`unpow3_binary64`
8×	`*-rgt-identity_binary64`
7×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64`
5×	`exp-diff_binary64` `cube-prod_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`log-rec_binary64` `cube-unmult_binary64` `swap-sqr_binary64`
3×	`cube-div_binary64` `remove-double-div_binary64` `associate-*l/_binary64`
2×	`mul-1-neg_binary64` `*-inverses_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `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-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` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_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` `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--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

308 → 240

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	12540
1	1735	12124
2	4944	12124
3	4977	12124

prune193.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	239	7	246

Error

0.5b

Counts

246 → 7

Compiler

Compiled 5619 to 1810 computations (67.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
9.4b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.4b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.4b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite250.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

36×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
15×	`cbrt-prod_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l_binary64` `associate-/r_binary64`
8×	`associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`associate-/l/_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `div-inv_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`
1×	`pow1/3_binary64` `cbrt-div_binary64`

Counts

4 → 120

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
7.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))

Compiler

Compiled 6542 to 978 computations (85.1% saved)

series457.0ms (5.3%)

Error

0.5b

Counts

4 → 108

Calls

4 calls:

96.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
91.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
90.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
89.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 11490 to 5409 computations (52.9% saved)

simplify205.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

871×	`times-frac_binary64`
234×	`cancel-sign-sub-inv_binary64`
207×	`distribute-rgt-in_binary64`
186×	`div-sub_binary64`
183×	`distribute-lft-in_binary64`
151×	`sub-neg_binary64`
106×	`associate-/l*_binary64`
95×	`distribute-lft-neg-in_binary64`
93×	`distribute-rgt-neg-in_binary64`
90×	`associate-r_binary64`
83×	`exp-sum_binary64`
80×	`distribute-neg-frac_binary64`
77×	`associate-l_binary64`
68×	`*-commutative_binary64`
61×	`unswap-sqr_binary64`
58×	`+-commutative_binary64`
55×	`associate-/r*_binary64`
53×	`sqr-pow_binary64`
52×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
41×	`exp-prod_binary64`
40×	`exp-diff_binary64`
39×	`associate--l+_binary64`
37×	`associate--r+_binary64`
35×	`distribute-neg-in_binary64`
31×	`unsub-neg_binary64` `associate-+l+_binary64`
30×	`associate-*r/_binary64`
27×	`associate-*l/_binary64`
22×	`associate-/r/_binary64`
21×	`cube-prod_binary64` `associate-/l/_binary64`
20×	`distribute-lft-neg-out_binary64`
19×	`associate-+r+_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
14×	`unpow1/3_binary64`
12×	`rem-exp-log_binary64` `cube-unmult_binary64`
11×	`log-prod_binary64`
10×	`log-div_binary64` `*-rgt-identity_binary64`
7×	`unpow3_binary64` `pow-plus_binary64` `exp-to-pow_binary64`
6×	`exp-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
5×	`log-pow_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
4×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`log-rec_binary64` `cube-div_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `div0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

228 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	6657
1	577	6451
2	1893	6195
3	4734	6140
4	5128	6140

prune105.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Error

0.5b

Counts

114 → 8

Compiler

Compiled 3659 to 825 computations (77.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
8.2b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.2b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.2b	(cbrt.f64 (-.f64 (*.f64 t z) x))

rewrite237.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

49×	`add-exp-log_binary64`
43×	`add-sqr-sqrt_binary64`
33×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64`
24×	`associate-r_binary64`
22×	`add-cube-cbrt_binary64`
21×	`cbrt-prod_binary64`
20×	`cbrt-div_binary64` `prod-exp_binary64`
18×	`add-cbrt-cube_binary64`
15×	`div-exp_binary64` `associate-l_binary64`
10×	`flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
9×	`unswap-sqr_binary64`
8×	`cbrt-unprod_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`pow1/3_binary64` `associate-l/_binary64` `associate-r/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

32.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 5652 to 1248 computations (77.9% saved)

series396.0ms (4.6%)

Error

0.5b

Counts

4 → 83

Calls

4 calls:

106.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x)))) (/.f64 (-.f64 (.f64 z y) x) (cbrt.f64 (-.f64 (.f64 t z) x))))
74.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
72.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
71.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 8033 to 5192 computations (35.4% saved)

simplify201.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

332×	`cancel-sign-sub-inv_binary64`
301×	`neg-mul-1_binary64`
232×	`associate-/l*_binary64`
221×	`associate-r_binary64`
201×	`times-frac_binary64`
184×	`sub-neg_binary64`
182×	`associate-*r/_binary64`
175×	`associate-*l/_binary64`
172×	`associate-l_binary64` `*-commutative_binary64`
160×	`associate-/r*_binary64`
158×	`div-sub_binary64`
143×	`distribute-rgt-neg-in_binary64`
141×	`distribute-lft-neg-in_binary64`
124×	`distribute-neg-frac_binary64`
75×	`exp-prod_binary64`
69×	`+-commutative_binary64`
67×	`neg-sub0_binary64` `unswap-sqr_binary64`
62×	`sqr-pow_binary64`
61×	`exp-sum_binary64`
56×	`associate-/l/_binary64`
47×	`distribute-neg-in_binary64`
46×	`*-lft-identity_binary64` `associate--l+_binary64` `associate--r+_binary64`
41×	`log-div_binary64`
40×	`exp-diff_binary64`
37×	`associate-+l+_binary64`
34×	`unsub-neg_binary64`
32×	`cube-prod_binary64`
31×	`log-prod_binary64` `cube-div_binary64`
28×	`distribute-lft-neg-out_binary64`
25×	`distribute-rgt-in_binary64`
24×	`distribute-rgt-neg-out_binary64` `distribute-lft-in_binary64`
22×	`associate-+r+_binary64`
21×	`associate-/r/_binary64`
19×	`*-rgt-identity_binary64`
18×	`exp-neg_binary64`
17×	`/-rgt-identity_binary64`
15×	`associate-+l-_binary64`
14×	`unpow3_binary64` `mul-1-neg_binary64`
13×	`swap-sqr_binary64` `associate-+r-_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-out_binary64`
10×	`log-rec_binary64`
9×	`rem-exp-log_binary64`
8×	`unpow1/3_binary64`
7×	`log-pow_binary64` `distribute-neg-out_binary64`
6×	`pow-sqr_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64`
5×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
4×	`unpow1/2_binary64` `exp-to-pow_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `remove-double-neg_binary64`
2×	`sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `remove-double-div_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

202 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	314	7182
1	878	5821
2	3244	5657
3	4452	5423
4	5057	5423

prune150.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	158	8	166

Error

0.5b

Counts

166 → 8

Compiler

Compiled 4114 to 1121 computations (72.8% saved)

regimes2.2s (25.9%)

Accuracy

Total 1.6b remaining (65.9%)

Threshold costs 0b (0%)

Compiler

Compiled 28371 to 17344 computations (38.9% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	135
1	53	135
2	62	135
3	66	135
4	68	135
5	67	135

end2.0ms (0%)

Compiler: Compiled 91 to 48 computations (47.3% saved)

sample921.0ms (10.7%)

Algorithm

1×

intervals

Results

371.0ms	8000×	body	128	valid
14.0ms	315×	body	128	invalid

Compiler

Compiled 333 to 217 computations (34.8% saved)

Details

analyze760.0ms (8.8%)

sample23.0ms (0.3%)

simplify65.0ms (0.8%)

prune2.0ms (0%)

localize16.0ms (0.2%)

rewrite203.0ms (2.4%)

series356.0ms (4.1%)

simplify188.0ms (2.2%)

prune275.0ms (3.2%)

localize14.0ms (0.2%)

rewrite301.0ms (3.5%)

series737.0ms (8.5%)

simplify281.0ms (3.3%)

prune193.0ms (2.2%)

localize19.0ms (0.2%)

rewrite250.0ms (2.9%)

series457.0ms (5.3%)

simplify205.0ms (2.4%)

prune105.0ms (1.2%)

localize17.0ms (0.2%)

rewrite237.0ms (2.7%)

series396.0ms (4.6%)

simplify201.0ms (2.3%)

prune150.0ms (1.7%)

regimes2.2s (25.9%)

bsearch10.0ms (0.1%)

simplify10.0ms (0.1%)

end2.0ms (0%)

sample921.0ms (10.7%)

Profiling