Details

analyze154.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

1189×	`distribute-rgt-in_binary64`
1005×	`distribute-lft-in_binary64`
549×	`times-frac_binary64`
430×	`distribute-rgt-out_binary64`
414×	`associate-+l+_binary64`
413×	`associate-/l/_binary64`
367×	`associate-/r/_binary64`
332×	`associate-+r+_binary64`
318×	`swap-sqr_binary64`
279×	`*-commutative_binary64` `+-commutative_binary64`
265×	`associate-/l*_binary64`
126×	`associate-l_binary64`
120×	`associate-r_binary64`
117×	`distribute-rgt1-in_binary64`
115×	`associate-*l/_binary64`
93×	`associate-/r*_binary64`
70×	`*-lft-identity_binary64`
67×	`*-rgt-identity_binary64`
62×	`associate-*r/_binary64`
48×	`distribute-lft-out_binary64`
47×	`remove-double-div_binary64`
41×	`count-2_binary64`
40×	`cube-prod_binary64`
35×	`distribute-lft1-in_binary64`
31×	`cube-div_binary64`
16×	`unpow3_binary64` `/-rgt-identity_binary64`
14×	`cube-mult_binary64` `unswap-sqr_binary64`
11×	`sqr-pow_binary64`
5×	`lft-mult-inverse_binary64`
2×	`cube-unmult_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `pow-sqr_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` `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-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` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	52
2	46	46
3	116	46
4	270	46
5	356	46
6	584	46
7	1149	46
8	1304	40
9	1506	40
10	1768	40
11	1924	40
12	1964	40
13	2037	40
14	4734	40
15	4719	40
16	4836	40
17	4974	40
18	4918	40
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify138.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1189×	`distribute-rgt-in_binary64`
1005×	`distribute-lft-in_binary64`
549×	`times-frac_binary64`
430×	`distribute-rgt-out_binary64`
414×	`associate-+l+_binary64`
413×	`associate-/l/_binary64`
367×	`associate-/r/_binary64`
332×	`associate-+r+_binary64`
318×	`swap-sqr_binary64`
279×	`*-commutative_binary64` `+-commutative_binary64`
265×	`associate-/l*_binary64`
126×	`associate-l_binary64`
120×	`associate-r_binary64`
117×	`distribute-rgt1-in_binary64`
115×	`associate-*l/_binary64`
93×	`associate-/r*_binary64`
70×	`*-lft-identity_binary64`
67×	`*-rgt-identity_binary64`
62×	`associate-*r/_binary64`
48×	`distribute-lft-out_binary64`
47×	`remove-double-div_binary64`
41×	`count-2_binary64`
40×	`cube-prod_binary64`
35×	`distribute-lft1-in_binary64`
31×	`cube-div_binary64`
16×	`unpow3_binary64` `/-rgt-identity_binary64`
14×	`cube-mult_binary64` `unswap-sqr_binary64`
11×	`sqr-pow_binary64`
5×	`lft-mult-inverse_binary64`
2×	`cube-unmult_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `pow-sqr_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` `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-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` `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` `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

1 → 1

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	52
2	46	46
3	116	46
4	270	46
5	356	46
6	584	46
7	1149	46
8	1304	40
9	1506	40
10	1768	40
11	1924	40
12	1964	40
13	2037	40
14	4734	40
15	4719	40
16	4836	40
17	4974	40
18	4918	40

prune4.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 62 to 50 computations (19.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite281.0ms (8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
48×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
30×	`prod-exp_binary64` `cbrt-unprod_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64` `add-sqr-sqrt_binary64` `swap-sqr_binary64`
20×	`add-cube-cbrt_binary64` `associate-l_binary64` `associate-r_binary64`
18×	`pow1_binary64`
16×	`associate-/r/_binary64`
12×	`distribute-lft-out_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64` `div-inv_binary64`
2×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `frac-times_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 156

Calls

4 calls:

19.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
17.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
4.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
4.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

Compiler

Compiled 6645 to 5137 computations (22.7% saved)

series120.0ms (3.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

19.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
16.0ms	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

Compiler

Compiled 2456 to 2049 computations (16.6% saved)

simplify178.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-/r*_binary64`
391×	`cancel-sign-sub-inv_binary64`
253×	`associate-/r/_binary64`
239×	`associate-/l/_binary64`
185×	`distribute-rgt-in_binary64`
170×	`associate-r_binary64`
169×	`associate-l_binary64`
167×	`log-div_binary64`
157×	`distribute-lft-in_binary64`
136×	`associate-*r/_binary64`
132×	`log-prod_binary64`
125×	`associate-*l/_binary64`
119×	`distribute-rgt-neg-in_binary64`
117×	`cube-prod_binary64`
109×	`cube-div_binary64` `associate-/l*_binary64`
98×	`sub-neg_binary64`
96×	`distribute-lft-neg-in_binary64`
78×	`associate--l+_binary64`
73×	`exp-prod_binary64`
71×	`*-commutative_binary64`
69×	`distribute-neg-frac_binary64`
63×	`+-commutative_binary64`
58×	`swap-sqr_binary64`
55×	`times-frac_binary64`
47×	`unswap-sqr_binary64`
31×	`unpow3_binary64`
30×	`sqr-pow_binary64` `distribute-rgt-out--_binary64`
27×	`cube-mult_binary64`
26×	`distribute-rgt-out_binary64`
25×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`associate-+l+_binary64`
18×	`associate--r+_binary64`
14×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
13×	`distribute-lft-out--_binary64`
12×	`log-pow_binary64` `pow-plus_binary64`
11×	`div-sub_binary64` `associate--r-_binary64`
9×	`distribute-rgt1-in_binary64` `associate-+l-_binary64`
8×	`cube-unmult_binary64` `unsub-neg_binary64`
7×	`associate-+r+_binary64`
6×	`associate-+r-_binary64`
5×	`log-rec_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
4×	`exp-lft-sqr_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `prod-exp_binary64`
2×	`rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_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` `exp-sqrt_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

204 → 180

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	4264
1	569	3724
2	1766	3469
3	4520	3415
4	4980	3415
5	4982	3415

prune163.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 4066 to 3134 computations (22.9% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)
0.1b	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 6)
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)

rewrite348.0ms (9.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`add-exp-log_binary64`
42×	`*-un-lft-identity_binary64`
40×	`add-cbrt-cube_binary64`
33×	`unpow-prod-down_binary64`
32×	`times-frac_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
17×	`prod-exp_binary64`
16×	`div-exp_binary64`
15×	`pow1_binary64` `cbrt-unprod_binary64`
14×	`associate-/r/_binary64`
12×	`cbrt-undiv_binary64` `swap-sqr_binary64`
10×	`sqrt-prod_binary64` `associate-l_binary64` `associate-r_binary64`
9×	`distribute-lft-out_binary64` `pow-unpow_binary64`
7×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-exp_binary64`
5×	`pow-pow_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-pow2_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `frac-times_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 149

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
8.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)
7.0ms	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)
7.0ms	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 6)

Compiler

Compiled 8268 to 6684 computations (19.2% saved)

series172.0ms (4.9%)

Error

Counts

4 → 45

Calls

4 calls:

34.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 4)
27.0ms	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 6)
25.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
25.0ms	(pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 4)

Compiler

Compiled 4326 to 3647 computations (15.7% saved)

simplify147.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

526×	`log-prod_binary64`
403×	`cancel-sign-sub-inv_binary64`
256×	`sqr-pow_binary64`
253×	`unswap-sqr_binary64`
234×	`log-div_binary64`
179×	`associate-r_binary64`
175×	`associate-l_binary64`
153×	`associate-*r/_binary64`
143×	`associate-*l/_binary64`
140×	`sub-neg_binary64`
132×	`swap-sqr_binary64`
129×	`associate-/l*_binary64`
99×	`*-commutative_binary64`
95×	`associate-/r*_binary64`
93×	`cube-div_binary64`
86×	`exp-prod_binary64`
83×	`+-commutative_binary64`
76×	`times-frac_binary64`
73×	`cube-prod_binary64`
71×	`log-pow_binary64`
63×	`associate--l+_binary64`
49×	`distribute-neg-frac_binary64`
39×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate--r+_binary64`
36×	`distribute-rgt-in_binary64`
35×	`unpow2_binary64` `unpow1_binary64`
34×	`distribute-lft-in_binary64`
32×	`distribute-neg-in_binary64` `associate-+l+_binary64`
29×	`unpow3_binary64`
28×	`unsub-neg_binary64`
27×	`*-rgt-identity_binary64`
24×	`cube-mult_binary64`
22×	`pow-sqr_binary64`
20×	`distribute-rgt-neg-in_binary64`
19×	`associate-/r/_binary64`
17×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
16×	`div-sub_binary64`
15×	`rem-square-sqrt_binary64`
14×	`associate-/l/_binary64`
12×	`pow-plus_binary64` `rem-sqrt-square_binary64`
11×	`associate-+r+_binary64`
10×	`log-rec_binary64` `/-rgt-identity_binary64`
9×	`cube-unmult_binary64` `associate-+r-_binary64`
8×	`associate-+l-_binary64`
4×	`unpow1/2_binary64`
3×	`difference-of-squares_binary64` `count-2_binary64`
2×	`exp-lft-sqr_binary64` `rem-cbrt-cube_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate--r-_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` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

194 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	3771
1	923	3215
2	2717	3137
3	4667	3137
4	5364	3137

prune192.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Error

Counts

166 → 2

Compiler

Compiled 5272 to 4232 computations (19.7% saved)

regimes628.0ms (17.8%)

Accuracy

Total 0.0b remaining (18.9%)

Threshold costs 0.0b (18.9%)

Compiler

Compiled 12586 to 10436 computations (17.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	22	49
2	21	49

end1.0ms (0%)

Compiler: Compiled 33 to 26 computations (21.2% saved)

sample936.0ms (26.6%)

Algorithm

1×

intervals

Results

611.0ms

8000×

body

128

valid

Compiler

Compiled 159 to 133 computations (16.4% saved)

Details

analyze154.0ms (4.4%)

sample26.0ms (0.7%)

simplify138.0ms (3.9%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

rewrite281.0ms (8%)

series120.0ms (3.4%)

simplify178.0ms (5.1%)

prune163.0ms (4.6%)

localize22.0ms (0.6%)

rewrite348.0ms (9.9%)

series172.0ms (4.9%)

simplify147.0ms (4.2%)

prune192.0ms (5.4%)

regimes628.0ms (17.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample936.0ms (26.6%)

Profiling