Details

analyze65.0ms (1.9%)

Algorithm

1×

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	250×	body	128	valid
4.0ms	4×	body	1024	valid
0.0ms	8×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify162.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_4142` `*-un-lft-identity_binary64_4121`
4×	`associate-r_binary64_4063`
3×	`associate-l_binary64_4064` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `pow1_binary64_4179`
2×	`associate-*r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `distribute-lft-in_binary64_4072` `flip-+_binary64_4095` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `flip3-+_binary64_4124` `distribute-lft-out_binary64_4074` `distribute-rgt-in_binary64_4073`

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 30))

series57.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

57.0ms

(*.f64 d1 (+.f64 d2 30))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4849	233
1	4849	233

prune22.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

Compiler

Compiled 281 to 196 computations (30.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 d2 30))
0.3b	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
0.4b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))

rewrite71.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64_4150`
44×	`associate-*r/_binary64_4065`
40×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
36×	`frac-times_binary64_4131`
34×	`*-un-lft-identity_binary64_4121`
32×	`cbrt-prod_binary64_4149`
25×	`add-sqr-sqrt_binary64_4142` `pow1_binary64_4179`
20×	`add-exp-log_binary64_4156`
18×	`associate-*l/_binary64_4066`
16×	`add-cube-cbrt_binary64_4153`
15×	`associate-r_binary64_4063`
11×	`associate-l_binary64_4064` `add-cbrt-cube_binary64_4154` `pow-prod-down_binary64_4189`
10×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167`
9×	`swap-sqr_binary64_4088`
8×	`distribute-lft-out_binary64_4074`
7×	`pow1/3_binary64_4200`
5×	`unswap-sqr_binary64_4089`
4×	`add-log-exp_binary64_4157`
3×	`*-commutative_binary64_4054`
2×	`pow-prod-up_binary64_4188` `pow-sqr_binary64_4094`
1×	`pow-plus_binary64_4181` `pow2_binary64_4199`

Counts

4 → 145

Calls

4 calls:

23.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
14.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
12.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))
3.0ms	(cbrt.f64 (+.f64 d2 30))

series299.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30))))
58.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))) (cbrt.f64 (+.f64 d2 30)))
49.0ms	(cbrt.f64 (+.f64 d2 30))
48.0ms	(*.f64 (cbrt.f64 (+.f64 d2 30)) (cbrt.f64 (+.f64 d2 30)))

simplify102.0ms (3%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4908	3040
1	4908	3040

prune199.0ms (5.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	157	4	161

Merged error: 0b

Counts

161 → 4

Compiler

Compiled 3428 to 2603 computations (24.1% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))))
5.7b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000)))) (cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))))
9.2b	(cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30))))
13.9b	(cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))

rewrite76.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64_4156`
18×	`prod-exp_binary64_4167`
17×	`*-un-lft-identity_binary64_4121` `cbrt-prod_binary64_4149`
13×	`add-sqr-sqrt_binary64_4142` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153`
12×	`associate-l_binary64_4064`
10×	`cbrt-div_binary64_4150`
8×	`associate-*r/_binary64_4065`
7×	`div-exp_binary64_4169` `unpow-prod-down_binary64_4197`
6×	`cbrt-unprod_binary64_4151` `associate-/r*_binary64_4067` `times-frac_binary64_4127`
5×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
4×	`add-log-exp_binary64_4157` `pow-to-exp_binary64_4187` `pow-exp_binary64_4186` `pow1_binary64_4179`
3×	`cbrt-undiv_binary64_4152`
2×	`associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `pow1/3_binary64_4200` `distribute-lft-out_binary64_4074`
1×	`div-inv_binary64_4118` `associate-r_binary64_4063` `-commutative_binary64_4054` `frac-2neg_binary64_4132` `sqr-pow_binary64_4093` `unpow2_binary64_4183` `associate-/l_binary64_4068` `clear-num_binary64_4120`

Counts

4 → 95

Calls

4 calls:

27.0ms	(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000)))) (cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))))
22.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))
7.0ms	(cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30))))

series690.0ms (20.5%)

Counts

4 → 12

Calls

4 calls:

297.0ms	(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000)))) (cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))))
170.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 d2 30)) 2) (.f64 d1 (cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))))
169.0ms	(cbrt.f64 (+.f64 (pow.f64 d2 3) 27000))
54.0ms	(cbrt.f64 (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30))))

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4951	3108
1	4951	3108

prune206.0ms (6.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 3658 to 2867 computations (21.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
2.4b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
14.4b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite50.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-log-exp_binary64_4157` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
10×	`add-sqr-sqrt_binary64_4142` `*-un-lft-identity_binary64_4121`
8×	`add-cube-cbrt_binary64_4153`
6×	`pow1_binary64_4179`
4×	`associate-r_binary64_4063` `flip-+_binary64_4095` `flip3-+_binary64_4124` `associate-*r/_binary64_4065`
3×	`associate-l_binary64_4064` `associate-/r*_binary64_4067` `times-frac_binary64_4127`
2×	`cbrt-unprod_binary64_4151` `div-exp_binary64_4169` `associate-/r/_binary64_4069` `cbrt-undiv_binary64_4152` `associate-/l/_binary64_4070` `sum-log_binary64_4209` `prod-exp_binary64_4167` `diff-log_binary64_4210` `sub-neg_binary64_4114`
1×	`div-inv_binary64_4118` `+-commutative_binary64_4053` `distribute-rgt-out--_binary64_4077` `flip--_binary64_4096` `associate-+r-_binary64_4057` `distribute-lft-in_binary64_4072` `-commutative_binary64_4054` `unswap-sqr_binary64_4089` `frac-2neg_binary64_4132` `flip3--_binary64_4125` `pow-prod-down_binary64_4189` `distribute-lft-out_binary64_4074` `associate-/l_binary64_4068` `associate-+r+_binary64_4055` `clear-num_binary64_4120` `distribute-rgt-in_binary64_4073`

Counts

4 → 74

Calls

4 calls:

20.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
10.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
7.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
5.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

series463.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
133.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
51.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))
20.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

simplify86.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4939	1375
1	4939	1375

prune95.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

Compiler

Compiled 1923 to 1394 computations (27.5% saved)

regimes23.0ms (0.7%)

Compiler: Compiled 140 to 126 computations (10% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample497.0ms (14.7%)

Algorithm

1×

intervals

Results

222.0ms	7876×	body	128	valid
7.0ms	74×	body	1024	valid
5.0ms	33×	body	512	valid
2.0ms	86×	body	128	invalid
1.0ms	17×	body	256	valid

Compiler

Compiled 90 to 81 computations (10% saved)

Details

analyze65.0ms (1.9%)

sample18.0ms (0.5%)

simplify162.0ms (4.8%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite9.0ms (0.3%)

series57.0ms (1.7%)

simplify58.0ms (1.7%)

prune22.0ms (0.7%)

localize7.0ms (0.2%)

rewrite71.0ms (2.1%)

series299.0ms (8.9%)

simplify102.0ms (3%)

prune199.0ms (5.9%)

localize20.0ms (0.6%)

rewrite76.0ms (2.3%)

series690.0ms (20.5%)

simplify75.0ms (2.2%)

prune206.0ms (6.1%)

localize12.0ms (0.4%)

rewrite50.0ms (1.5%)

series463.0ms (13.7%)

simplify86.0ms (2.5%)

prune95.0ms (2.8%)

regimes23.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample497.0ms (14.7%)

Profiling