Details

analyze2.0s (10.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

568×	`unswap-sqr_binary64`
433×	`sub-neg_binary64`
412×	`div-sub_binary64`
386×	`distribute-neg-frac_binary64`
354×	`distribute-rgt-neg-in_binary64`
328×	`associate-/l*_binary64`
264×	`distribute-lft-neg-in_binary64`
254×	`*-commutative_binary64`
231×	`unsub-neg_binary64`
208×	`associate-/r*_binary64`
194×	`neg-mul-1_binary64`
192×	`cancel-sign-sub-inv_binary64`
191×	`associate-l_binary64`
182×	`neg-sub0_binary64`
170×	`associate-r_binary64`
163×	`associate-/r/_binary64`
144×	`distribute-rgt-in_binary64`
128×	`distribute-lft-in_binary64`
116×	`associate-*r/_binary64`
96×	`associate-*l/_binary64`
68×	`distribute-lft-neg-out_binary64`
65×	`mul0-rgt_binary64` `mul0-lft_binary64`
64×	`sqr-pow_binary64`
59×	`+-commutative_binary64`
55×	`remove-double-neg_binary64`
48×	`associate-/l/_binary64`
47×	`distribute-neg-in_binary64`
43×	`*-rgt-identity_binary64`
38×	`div0_binary64`
36×	`pow-plus_binary64`
33×	`*-lft-identity_binary64`
32×	`associate--r+_binary64`
24×	`associate-+l+_binary64`
22×	`sub0-neg_binary64` `associate-+l-_binary64`
20×	`unpow3_binary64` `cube-unmult_binary64` `cube-prod_binary64`
16×	`associate-+r+_binary64`
13×	`/-rgt-identity_binary64`
12×	`pow-sqr_binary64`
11×	`sqr-neg_binary64`
10×	`--rgt-identity_binary64`
8×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
6×	`tan-neg_binary64` `sin-neg_binary64` `swap-sqr_binary64`
4×	`unpow1_binary64` `cube-mult_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `associate--l+_binary64` `associate-+r-_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-lft1-in_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` `cos-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` `unpow1/2_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` `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-div_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` `times-frac_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	148
1	135	128
2	284	128
3	618	128
4	1384	128
5	3011	128
6	4044	128
7	4747	128
8	4990	128
9	4999	128
10	4785	128
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample98.0ms (0.5%)

Algorithm

1×

intervals

Results

38.0ms	70×	body	1024	valid
17.0ms	131×	body	128	valid
12.0ms	32×	body	512	valid
6.0ms	22×	body	128	invalid
6.0ms	23×	body	256	valid
1.0ms	5×	body	128	nan

Compiler

Compiled 55 to 50 computations (9.1% saved)

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

736×	`div-sub_binary64`
640×	`distribute-rgt-neg-in_binary64`
603×	`sub-neg_binary64`
418×	`distribute-lft-neg-in_binary64`
381×	`distribute-neg-frac_binary64`
288×	`associate-/l*_binary64`
251×	`unsub-neg_binary64`
244×	`unswap-sqr_binary64`
224×	`associate-/r*_binary64`
201×	`neg-mul-1_binary64`
182×	`neg-sub0_binary64` `associate-l_binary64`
181×	`associate-+l-_binary64`
174×	`cancel-sign-sub-inv_binary64`
157×	`distribute-rgt-in_binary64`
154×	`sqr-pow_binary64`
150×	`*-commutative_binary64`
140×	`associate-r_binary64`
136×	`distribute-lft-in_binary64`
122×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
120×	`div0_binary64`
119×	`+-commutative_binary64`
114×	`associate-*l/_binary64`
109×	`distribute-rgt-neg-out_binary64`
95×	`associate-*r/_binary64`
92×	`distribute-neg-in_binary64`
88×	`cube-prod_binary64`
68×	`associate-/l/_binary64`
61×	`remove-double-neg_binary64`
54×	`pow-sqr_binary64`
49×	`mul0-rgt_binary64` `mul0-lft_binary64`
42×	`pow-plus_binary64` `swap-sqr_binary64`
38×	`unpow3_binary64`
34×	`cube-mult_binary64`
23×	`sub0-neg_binary64`
21×	`cancel-sign-sub_binary64`
17×	`distribute-frac-neg_binary64`
14×	`associate--r+_binary64` `associate-+l+_binary64`
12×	`*-lft-identity_binary64`
11×	`associate--l-_binary64`
10×	`unpow2_binary64` `associate--l+_binary64`
9×	`unpow1_binary64` `sqr-neg_binary64`
8×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
7×	`unpow1/2_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
5×	`*-rgt-identity_binary64` `associate-+r+_binary64`
4×	`associate-+r-_binary64`
3×	`+-lft-identity_binary64`
2×	`cube-neg_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `distribute-rgt1-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` `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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	37
1	48	32
2	91	32
3	167	32
4	340	32
5	966	32
6	2349	32
7	3829	32
8	4128	32
9	4267	32
10	4587	32
11	4955	32
12	4666	32

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.1b

Counts

2 → 2

Compiler

Compiled 69 to 57 computations (17.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.1b	(/.f64 F (sin.f64 B))
7.5b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
18.2b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite257.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

10.7b

Rules

44×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
22×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `associate-/r_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-pow_binary64` `associate-l/_binary64` `-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 115

Calls

4 calls:

16.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
10.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
4.0ms	(/.f64 x (tan.f64 B))
4.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3459 to 1606 computations (53.6% saved)

series1.5s (8.5%)

Error

0.1b

Counts

4 → 50

Calls

4 calls:

612.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
388.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
307.0ms	(/.f64 x (tan.f64 B))
141.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 4401 to 3214 computations (27% saved)

simplify186.0ms (1%)

Algorithm

1×	egg-herbie

Rules

315×	`associate-/r/_binary64`
272×	`cancel-sign-sub-inv_binary64`
258×	`associate-/l/_binary64`
176×	`sub-neg_binary64`
167×	`*-commutative_binary64`
157×	`associate-r_binary64`
145×	`associate-l_binary64`
137×	`associate-/l*_binary64`
135×	`associate-*l/_binary64`
130×	`distribute-rgt-neg-in_binary64`
115×	`distribute-lft-neg-in_binary64`
110×	`+-commutative_binary64`
106×	`associate-*r/_binary64`
95×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64`
91×	`distribute-rgt-in_binary64` `associate-/r*_binary64`
86×	`sqr-pow_binary64`
81×	`neg-sub0_binary64` `unswap-sqr_binary64`
79×	`neg-mul-1_binary64`
76×	`times-frac_binary64`
75×	`log-prod_binary64`
67×	`distribute-lft-in_binary64`
65×	`associate-+r+_binary64`
61×	`associate-+l+_binary64`
49×	`associate--l+_binary64` `associate--r+_binary64`
47×	`exp-prod_binary64`
40×	`unsub-neg_binary64`
33×	`log-div_binary64`
31×	`*-rgt-identity_binary64`
17×	`log-pow_binary64` `unpow3_binary64` `distribute-lft-neg-out_binary64`
14×	`cube-prod_binary64` `*-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64`
12×	`exp-sum_binary64`
10×	`cube-unmult_binary64` `distribute-lft-out_binary64`
9×	`/-rgt-identity_binary64`
8×	`cube-div_binary64` `pow-sqr_binary64`
5×	`pow-plus_binary64` `exp-diff_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64`
4×	`log-rec_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `div-exp_binary64` `div-sub_binary64` `mul-1-neg_binary64`
3×	`exp-to-pow_binary64` `unpow1_binary64`
2×	`unpow2_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `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-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

165 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	389	4244
1	960	4013
2	2906	3971
3	4889	3959
4	4969	3959
5	4926	3959

prune213.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	10	107

Error

0.0b

Counts

107 → 10

Compiler

Compiled 3613 to 1901 computations (47.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 x (tan.f64 B))
0.2b	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
0.5b	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
18.2b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite184.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`add-cbrt-cube_binary64`
12×	`times-frac_binary64`
7×	`unpow-prod-down_binary64` `associate-r_binary64`
6×	`prod-exp_binary64` `associate-/r*_binary64`
5×	`pow1_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`pow-pow_binary64` `*-commutative_binary64` `tan-quot_binary64` `associate-/r/_binary64`

Counts

4 → 93

Calls

4 calls:

11.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
10.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
7.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
4.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 2798 to 1468 computations (47.5% saved)

series1.7s (9.2%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

616.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
352.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
316.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
290.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 5158 to 3862 computations (25.1% saved)

simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

393×	`cancel-sign-sub-inv_binary64`
252×	`sub-neg_binary64`
181×	`distribute-rgt-neg-in_binary64` `associate-/l*_binary64`
172×	`associate-r_binary64`
164×	`*-commutative_binary64`
150×	`associate-l_binary64`
149×	`+-commutative_binary64`
125×	`distribute-neg-in_binary64`
115×	`associate-/r*_binary64`
114×	`distribute-neg-frac_binary64`
113×	`times-frac_binary64`
106×	`associate-*l/_binary64`
102×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
94×	`associate-+r+_binary64`
91×	`unswap-sqr_binary64`
89×	`associate-+l+_binary64`
86×	`sqr-pow_binary64`
80×	`associate-*r/_binary64`
77×	`log-prod_binary64`
75×	`associate--l+_binary64`
73×	`associate--r+_binary64`
56×	`unsub-neg_binary64`
52×	`exp-prod_binary64`
51×	`log-div_binary64` `associate-/l/_binary64`
47×	`associate-/r/_binary64`
46×	`cube-prod_binary64`
39×	`cube-div_binary64`
36×	`*-rgt-identity_binary64`
32×	`exp-sum_binary64`
23×	`distribute-lft-neg-in_binary64`
22×	`unpow3_binary64` `distribute-lft-neg-out_binary64`
21×	`log-pow_binary64` `*-lft-identity_binary64`
16×	`exp-diff_binary64` `cube-mult_binary64`
15×	`/-rgt-identity_binary64`
14×	`cube-unmult_binary64` `swap-sqr_binary64`
10×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
9×	`log-rec_binary64` `rem-exp-log_binary64` `div-sub_binary64`
8×	`pow-sqr_binary64`
6×	`distribute-rgt-out_binary64`
5×	`pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
4×	`unpow1/2_binary64` `pow-base-1_binary64` `prod-exp_binary64`
3×	`exp-to-pow_binary64` `unpow1_binary64`
2×	`unpow2_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
1×	`unpow-1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-rgt1-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

151 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	416	4405
1	1044	4105
2	3329	4088
3	4778	4058
4	4982	4058
5	4938	4058

prune195.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Error

0.0b

Counts

121 → 10

Compiler

Compiled 3771 to 2125 computations (43.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 F)
0.6b	(cbrt.f64 F)
2.4b	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (/.f64 (cbrt.f64 F) (sin.f64 B)))
18.2b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite217.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
22×	`associate-r_binary64`
18×	`add-exp-log_binary64` `cbrt-prod_binary64`
9×	`unpow-prod-down_binary64` `unswap-sqr_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`prod-exp_binary64`
5×	`pow1_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `pow1/3_binary64`
1×	`pow-pow_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

18.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (/.f64 (cbrt.f64 F) (sin.f64 B)))
7.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
1.0ms	(cbrt.f64 F)
1.0ms	(cbrt.f64 F)

Compiler

Compiled 3793 to 1676 computations (55.8% saved)

series1.4s (7.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

710.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (/.f64 (cbrt.f64 F) (sin.f64 B)))
369.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
127.0ms	(cbrt.f64 F)
114.0ms	(cbrt.f64 F)

Compiler

Compiled 4284 to 3142 computations (26.7% saved)

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

791×	`times-frac_binary64`
253×	`cancel-sign-sub-inv_binary64`
229×	`associate-r_binary64`
221×	`associate-l_binary64`
194×	`*-commutative_binary64`
146×	`unswap-sqr_binary64`
130×	`log-prod_binary64`
127×	`associate-*r/_binary64`
112×	`sub-neg_binary64`
111×	`associate-/l*_binary64`
110×	`sqr-pow_binary64`
81×	`cube-prod_binary64`
80×	`associate-*l/_binary64`
72×	`exp-prod_binary64`
70×	`+-commutative_binary64`
57×	`neg-sub0_binary64` `associate-/r*_binary64`
56×	`distribute-neg-frac_binary64`
53×	`unpow3_binary64`
52×	`neg-mul-1_binary64`
42×	`*-rgt-identity_binary64`
35×	`associate-+l+_binary64`
34×	`log-pow_binary64` `exp-sum_binary64`
33×	`log-div_binary64` `associate-/l/_binary64`
32×	`associate--l+_binary64` `associate-+r+_binary64`
29×	`associate--r+_binary64`
28×	`div-exp_binary64` `*-lft-identity_binary64`
26×	`unsub-neg_binary64`
22×	`swap-sqr_binary64`
17×	`cube-unmult_binary64`
16×	`pow-plus_binary64` `exp-diff_binary64`
15×	`cube-mult_binary64` `distribute-neg-in_binary64` `associate-/r/_binary64`
14×	`distribute-rgt-neg-in_binary64`
12×	`rem-exp-log_binary64` `cube-div_binary64`
11×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64`
10×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
8×	`unpow1/3_binary64`
7×	`rem-sqrt-square_binary64`
6×	`log-rec_binary64` `distribute-rgt-out_binary64`
4×	`unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64`
3×	`unpow1_binary64` `prod-exp_binary64` `div-sub_binary64`
2×	`unpow2_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

130 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	322	3865
1	822	3597
2	2668	3583
3	4702	3553
4	4861	3553
5	4923	3553

prune220.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Error

0.0b

Counts

117 → 10

Compiler

Compiled 4480 to 2139 computations (52.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
7.5b	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
18.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
18.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite420.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-l_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
11×	`unswap-sqr_binary64`
10×	`div-exp_binary64` `times-frac_binary64`
8×	`pow1_binary64` `associate-r_binary64`
7×	`cbrt-unprod_binary64` `swap-sqr_binary64`
6×	`pow-unpow_binary64`
4×	`add-log-exp_binary64`
2×	`pow-pow_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64` `div-inv_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`

Counts

4 → 136

Calls

4 calls:

22.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
17.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
7.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
7.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 6254 to 3525 computations (43.6% saved)

series1.8s (9.8%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

602.0ms	(.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)))
399.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
392.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
244.0ms	(.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))

Compiler

Compiled 7187 to 5453 computations (24.1% saved)

simplify168.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

981×	`times-frac_binary64`
328×	`associate-r_binary64`
208×	`*-commutative_binary64`
199×	`associate-l_binary64`
151×	`+-commutative_binary64`
119×	`associate-/l*_binary64`
107×	`associate-*l/_binary64`
102×	`associate-/r*_binary64`
98×	`associate-+r+_binary64`
87×	`associate-+l+_binary64`
85×	`associate-*r/_binary64`
76×	`cancel-sign-sub-inv_binary64`
72×	`associate--l+_binary64` `associate--r+_binary64`
71×	`sub-neg_binary64`
65×	`sqr-pow_binary64`
47×	`log-prod_binary64`
42×	`exp-prod_binary64`
37×	`unswap-sqr_binary64`
31×	`distribute-neg-in_binary64`
29×	`neg-sub0_binary64`
27×	`neg-mul-1_binary64`
24×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
22×	`cube-prod_binary64`
19×	`distribute-rgt-neg-in_binary64`
17×	`distribute-lft-neg-in_binary64`
15×	`cube-unmult_binary64`
11×	`associate-/r/_binary64`
10×	`exp-sum_binary64`
9×	`log-div_binary64` `pow-sqr_binary64`
8×	`log-pow_binary64` `distribute-rgt-out_binary64`
7×	`distribute-neg-frac_binary64`
6×	`pow-plus_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `associate-+l-_binary64`
5×	`cube-mult_binary64`
4×	`unpow3_binary64` `cube-div_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64`
3×	`unpow1/2_binary64` `pow-base-1_binary64` `unpow1_binary64` `count-2_binary64`
2×	`unpow2_binary64` `exp-diff_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `unpow0_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-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

202 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	7174
1	1073	6622
2	3580	6577
3	5089	6577

prune363.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	179	10	189

Error

0.0b

Counts

189 → 10

Compiler

Compiled 6859 to 3845 computations (43.9% saved)

regimes1.2s (6.8%)

Accuracy

Total 0.2b remaining (90.3%)

Threshold costs 0.2b (90.3%)

Compiler

Compiled 11884 to 8940 computations (24.8% saved)

bsearch139.0ms (0.8%)

Steps

Iters	Range		Point
7	802351.33870426	25279172.96831666	24953040.116247203
7	-787670020821762.4	-17230292418294.057	-21728531036498.848

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `*-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-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	34	90
1	47	90
2	61	90
3	76	90
4	86	90
5	91	90
6	85	90

end0.0ms (0%)

sample5.4s (29.4%)

Algorithm

1×

intervals

Results

1.2s	2208×	body	1024	valid
525.0ms	4132×	body	128	valid
425.0ms	1112×	body	512	valid
136.0ms	543×	body	256	valid
82.0ms	648×	body	128	invalid
11.0ms	117×	body	128	nan
5.0ms	5×	body	2048	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 3043 to 2280 computations (25.1% saved)

Details

analyze2.0s (10.8%)

sample98.0ms (0.5%)

simplify134.0ms (0.7%)

prune9.0ms (0%)

localize24.0ms (0.1%)

rewrite257.0ms (1.4%)

series1.5s (8.5%)

simplify186.0ms (1%)

prune213.0ms (1.2%)

localize17.0ms (0.1%)

rewrite184.0ms (1%)

series1.7s (9.2%)

simplify181.0ms (1%)

prune195.0ms (1.1%)

localize24.0ms (0.1%)

rewrite217.0ms (1.2%)

series1.4s (7.7%)

simplify176.0ms (1%)

prune220.0ms (1.2%)

localize18.0ms (0.1%)

rewrite420.0ms (2.3%)

series1.8s (9.8%)

simplify168.0ms (0.9%)

prune363.0ms (2%)

regimes1.2s (6.8%)

bsearch139.0ms (0.8%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.4s (29.4%)

Profiling