Details

analyze1.0s (16.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

533×	`div-sub_binary64`
432×	`times-frac_binary64`
315×	`associate-/l*_binary64`
203×	`cancel-sign-sub-inv_binary64`
189×	`sub-neg_binary64`
166×	`associate-/r*_binary64`
154×	`distribute-rgt-in_binary64`
146×	`unsub-neg_binary64`
126×	`distribute-lft-in_binary64`
100×	`distribute-rgt-neg-in_binary64`
98×	`associate-/r/_binary64`
97×	`distribute-neg-frac_binary64`
86×	`associate-/l/_binary64`
72×	`distribute-lft-neg-in_binary64`
60×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
44×	`mul0-rgt_binary64`
43×	`*-commutative_binary64`
42×	`mul0-lft_binary64` `div0_binary64`
40×	`associate-*l/_binary64`
37×	`distribute-lft-neg-out_binary64`
35×	`associate--r+_binary64`
33×	`+-commutative_binary64`
32×	`distribute-frac-neg_binary64` `associate-r_binary64`
24×	`distribute-rgt-neg-out_binary64`
22×	`distribute-neg-in_binary64` `associate-r/_binary64` `associate-l*_binary64`
21×	`remove-double-neg_binary64`
18×	`associate-+l-_binary64`
17×	`*-lft-identity_binary64`
14×	`/-rgt-identity_binary64` `sub0-neg_binary64`
10×	`*-rgt-identity_binary64`
8×	`--rgt-identity_binary64` `+-lft-identity_binary64`
6×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
4×	`tan-neg_binary64` `mul-1-neg_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`sqr-neg_binary64` `+-rgt-identity_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `remove-double-div_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	41	40
2	87	40
3	217	40
4	306	40
5	401	40
6	495	40
7	634	40
8	1173	40
9	1410	40
10	1198	40
11	1232	40
12	1254	40
13	1264	40
14	1140	40
15	1236	40
16	1156	40
17	1156	40
18	1027	40
0	2	2
1	2	2

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
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample80.0ms (1.3%)

Algorithm

1×

intervals

Results

34.0ms	36×	body	2048	valid
14.0ms	56×	body	1024	valid
8.0ms	2×	body	4096	valid
6.0ms	131×	body	128	valid
3.0ms	18×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	1×	body	2048	invalid
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

50×	`cancel-sign-sub-inv_binary64`
37×	`associate-/l*_binary64`
36×	`sub-neg_binary64`
30×	`times-frac_binary64` `div-sub_binary64`
27×	`distribute-rgt-neg-in_binary64`
24×	`neg-mul-1_binary64`
22×	`associate-/r*_binary64`
21×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
20×	`neg-sub0_binary64` `distribute-rgt-in_binary64`
18×	`unsub-neg_binary64`
16×	`associate-r_binary64`
15×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
13×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
12×	`mul0-rgt_binary64` `associate-/r/_binary64` `associate-*l/_binary64` `+-commutative_binary64`
11×	`remove-double-neg_binary64` `mul0-lft_binary64` `associate-l_binary64` `*-commutative_binary64`
10×	`distribute-neg-in_binary64` `associate-*r/_binary64`
8×	`associate-+l-_binary64`
7×	`*-lft-identity_binary64` `sub0-neg_binary64`
6×	`div0_binary64` `distribute-rgt-neg-out_binary64`
5×	`+-lft-identity_binary64`
4×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `--rgt-identity_binary64`
3×	`distribute-frac-neg_binary64` `associate-+l+_binary64`
2×	`tan-neg_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+r-_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

prune7.0ms (0.1%)

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

15.6b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
3.0b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
29.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite117.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1089 to 236 computations (78.3% saved)

series82.0ms (1.4%)

Error

15.6b

Counts

4 → 15

Calls

4 calls:

36.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
24.0ms	(tan.f64 (*.f64 PI.f64 l))
9.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 518 to 319 computations (38.4% saved)

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

637×	`div-sub_binary64`
448×	`associate-/l*_binary64`
392×	`associate-/l/_binary64`
315×	`associate-l_binary64`
308×	`associate-/r*_binary64`
217×	`associate-r_binary64`
216×	`unswap-sqr_binary64`
198×	`associate-*l/_binary64`
169×	`distribute-rgt-in_binary64`
148×	`associate-/r/_binary64`
137×	`distribute-lft-in_binary64`
128×	`associate--l+_binary64`
121×	`times-frac_binary64`
111×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
98×	`associate-*r/_binary64`
87×	`sub-neg_binary64`
83×	`log-prod_binary64`
72×	`associate--l-_binary64`
67×	`cube-prod_binary64`
66×	`*-commutative_binary64`
53×	`associate-+l+_binary64`
49×	`distribute-lft-neg-in_binary64`
46×	`distribute-rgt-neg-in_binary64`
44×	`associate--r-_binary64`
43×	`unpow3_binary64`
39×	`log-div_binary64` `distribute-neg-in_binary64`
36×	`cube-div_binary64`
32×	`cube-mult_binary64` `pow-sqr_binary64`
31×	`associate-+r+_binary64`
27×	`pow-plus_binary64`
26×	`neg-mul-1_binary64`
25×	`*-lft-identity_binary64`
24×	`neg-sub0_binary64`
23×	`associate--r+_binary64`
21×	`fabs-mul_binary64` `*-rgt-identity_binary64`
20×	`log-pow_binary64`
19×	`unsub-neg_binary64` `distribute-rgt-out_binary64`
16×	`associate-+l-_binary64`
15×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
14×	`swap-sqr_binary64`
13×	`count-2_binary64`
12×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
11×	`fabs-sqr_binary64`
10×	`exp-prod_binary64` `+-commutative_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
7×	`distribute-neg-frac_binary64`
6×	`--rgt-identity_binary64`
5×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
4×	`log-rec_binary64` `unpow1/2_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
2×	`exp-diff_binary64` `+-lft-identity_binary64`
1×	`unpow1_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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`

Counts

81 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	1050
1	162	910
2	406	910
3	892	910
4	2549	910
5	3330	910
6	4686	910
7	5791	910

prune28.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	22	7	29
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	23	8	31

Error

12.6b

Counts

31 → 8

Compiler

Compiled 411 to 161 computations (60.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
29.3b	(tan.f64 (*.f64 PI.f64 l))

rewrite135.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

20×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`tan-quot_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1354 to 449 computations (66.8% saved)

series65.0ms (1.1%)

Error

12.6b

Counts

4 → 15

Calls

4 calls:

37.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
10.0ms	(tan.f64 (*.f64 PI.f64 l))
6.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 573 to 370 computations (35.4% saved)

simplify135.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

526×	`times-frac_binary64`
509×	`associate-/l/_binary64`
418×	`associate-/l*_binary64`
389×	`div-sub_binary64`
348×	`unswap-sqr_binary64`
280×	`sub-neg_binary64`
241×	`cancel-sign-sub-inv_binary64`
224×	`associate-l/_binary64` `associate-l*_binary64`
208×	`associate-/r*_binary64`
201×	`*-commutative_binary64`
199×	`associate-/r/_binary64`
149×	`associate-r_binary64`
148×	`associate--l-_binary64`
106×	`associate-*r/_binary64`
103×	`sqr-pow_binary64`
85×	`unsub-neg_binary64`
76×	`neg-mul-1_binary64`
75×	`neg-sub0_binary64`
72×	`log-div_binary64`
66×	`cube-prod_binary64`
62×	`cube-div_binary64`
61×	`log-prod_binary64`
59×	`distribute-rgt-in_binary64`
57×	`associate-+l+_binary64`
53×	`*-lft-identity_binary64`
49×	`*-rgt-identity_binary64`
46×	`associate--r+_binary64`
45×	`unpow3_binary64`
44×	`associate--r-_binary64`
42×	`exp-prod_binary64` `fabs-mul_binary64`
41×	`associate--l+_binary64`
38×	`cube-unmult_binary64`
35×	`distribute-lft-in_binary64`
34×	`div0_binary64` `distribute-neg-in_binary64`
31×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
29×	`associate-+l-_binary64`
27×	`+-commutative_binary64`
26×	`/-rgt-identity_binary64`
24×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
23×	`remove-double-div_binary64` `associate-+r+_binary64`
20×	`associate-+r-_binary64`
17×	`log-rec_binary64`
15×	`fabs-sqr_binary64`
13×	`cube-mult_binary64`
12×	`prod-exp_binary64` `distribute-lft-neg-in_binary64`
11×	`distribute-lft-out--_binary64`
9×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64`
7×	`exp-lft-sqr_binary64`
6×	`exp-sqrt_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
5×	`remove-double-neg_binary64`
4×	`unpow1/2_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
3×	`exp-sum_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64`
2×	`exp-diff_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-rgt-neg-out_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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

87 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1113
1	154	1012
2	343	1012
3	526	1012
4	901	1012
5	1628	1012
6	3394	1012
7	4343	1012
8	4942	1012
9	4807	1012

prune30.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	18	11	29

Error

12.6b

Counts

29 → 11

Compiler

Compiled 484 to 226 computations (53.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
29.1b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite119.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`tan-quot_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
3.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1160 to 437 computations (62.3% saved)

series20.0ms (0.3%)

Error

12.6b

Counts

4 → 6

Calls

4 calls:

10.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
6.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 242 to 157 computations (35.1% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

773×	`unswap-sqr_binary64`
513×	`log-div_binary64`
489×	`associate-/r/_binary64`
430×	`associate-/l*_binary64`
379×	`associate-l_binary64`
256×	`cube-div_binary64`
251×	`log-prod_binary64`
248×	`cube-prod_binary64`
228×	`times-frac_binary64`
217×	`*-commutative_binary64`
198×	`sqr-pow_binary64`
182×	`associate-/l/_binary64`
155×	`associate-r_binary64`
147×	`associate-/r*_binary64`
112×	`exp-prod_binary64`
88×	`pow-sqr_binary64`
61×	`associate-*r/_binary64`
39×	`log-rec_binary64`
29×	`associate-*l/_binary64`
28×	`fabs-div_binary64`
26×	`associate-+l-_binary64`
25×	`unpow3_binary64` `swap-sqr_binary64`
23×	`cube-mult_binary64`
17×	`exp-sqrt_binary64`
15×	`cube-unmult_binary64` `sub-neg_binary64` `*-lft-identity_binary64` `associate--l-_binary64`
14×	`pow-plus_binary64` `exp-lft-sqr_binary64`
12×	`fabs-mul_binary64` `/-rgt-identity_binary64`
9×	`remove-double-div_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`*-rgt-identity_binary64` `associate--l+_binary64`
5×	`unpow2_binary64`
4×	`prod-exp_binary64`
3×	`log-pow_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64`
2×	`count-2_binary64` `associate-+r+_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

61 → 32

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	59	721
1	106	479
2	231	479
3	361	479
4	532	479
5	747	479
6	1038	479
7	1559	479
8	3283	469
9	4849	469
10	5053	469

prune51.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	32	11	43

Error

12.5b

Counts

43 → 11

Compiler

Compiled 692 to 340 computations (50.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
29.1b	(tan.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (.f64 (.f64 l (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))

rewrite120.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

12.5b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`tan-quot_binary64`

Counts

4 → 47

Calls

4 calls:

4.0ms	(tan.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (.f64 (.f64 l (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1445 to 442 computations (69.4% saved)

series14.0ms (0.2%)

Error

12.5b

Counts

4 → 3

Calls

4 calls:

10.0ms	(tan.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (.f64 (.f64 l (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 144 to 91 computations (36.8% saved)

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

728×	`unswap-sqr_binary64`
369×	`associate-/l/_binary64`
360×	`associate-l_binary64`
287×	`*-commutative_binary64`
286×	`associate-r_binary64`
256×	`sqr-pow_binary64`
252×	`associate-/l*_binary64`
232×	`associate-/r/_binary64`
230×	`associate-+l+_binary64`
187×	`log-prod_binary64`
185×	`cube-prod_binary64`
179×	`exp-prod_binary64`
154×	`associate-+r+_binary64`
150×	`associate-*r/_binary64`
103×	`associate-/r*_binary64`
100×	`pow-sqr_binary64`
98×	`fabs-mul_binary64`
92×	`associate-*l/_binary64`
83×	`log-div_binary64` `cube-div_binary64` `distribute-rgt-in_binary64`
71×	`distribute-lft-in_binary64`
64×	`pow-plus_binary64` `times-frac_binary64`
52×	`unpow3_binary64`
42×	`cube-mult_binary64`
39×	`log-pow_binary64`
34×	`rem-sqrt-square_binary64`
33×	`distribute-rgt-out_binary64`
31×	`distribute-lft-out_binary64`
21×	`cube-unmult_binary64` `count-2_binary64`
17×	`fabs-sqr_binary64`
15×	`+-commutative_binary64`
12×	`unpow2_binary64`
9×	`unpow1_binary64`
6×	`exp-sqrt_binary64`
5×	`unpow1/2_binary64` `/-rgt-identity_binary64`
4×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
3×	`exp-lft-sqr_binary64`
2×	`log-rec_binary64` `rem-cbrt-cube_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-fabs_binary64` `rem-square-sqrt_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` `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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-neg_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

50 → 21

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	723
1	52	653
2	78	393
3	107	393
4	152	393
5	288	333
6	714	333
7	749	333
8	1393	333
9	2005	333
10	4260	333
11	4916	333

prune36.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	22	10	32

Error

12.5b

Counts

32 → 10

Compiler

Compiled 470 to 185 computations (60.6% saved)

regimes1.2s (20.2%)

Accuracy

Total 0.6b remaining (4.9%)

Threshold costs 0.6b (4.9%)

Compiler

Compiled 18332 to 11469 computations (37.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	9	20
1	12	20
2	19	20
3	25	20
4	30	20
5	33	20
6	34	20
7	34	20

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample2.3s (39.3%)

Algorithm

1×

intervals

Results

891.0ms	1014×	body	2048	valid
436.0ms	1781×	body	1024	valid
198.0ms	4134×	body	128	valid
156.0ms	47×	body	4096	valid
118.0ms	713×	body	512	valid
35.0ms	311×	body	256	valid
11.0ms	198×	body	128	invalid
4.0ms	10×	body	2048	invalid
3.0ms	9×	body	8192	exit

Compiler

Compiled 222 to 148 computations (33.3% saved)

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

Details

analyze1.0s (16.9%)

sample80.0ms (1.3%)

simplify24.0ms (0.4%)

prune7.0ms (0.1%)

localize10.0ms (0.2%)

rewrite117.0ms (2%)

series82.0ms (1.4%)

simplify105.0ms (1.7%)

prune28.0ms (0.5%)

localize9.0ms (0.2%)

rewrite135.0ms (2.2%)

series65.0ms (1.1%)

simplify135.0ms (2.3%)

prune30.0ms (0.5%)

localize13.0ms (0.2%)

rewrite119.0ms (2%)

series20.0ms (0.3%)

simplify99.0ms (1.7%)

prune51.0ms (0.9%)

localize18.0ms (0.3%)

rewrite120.0ms (2%)

series14.0ms (0.2%)

simplify92.0ms (1.5%)

prune36.0ms (0.6%)

regimes1.2s (20.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.3s (39.3%)

Profiling

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20