Details

analyze198.0ms (3.5%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify427.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (330.0ms)

Iter	Nodes	Cost
0	5786	12

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.3b	(*.f64 x (log.f64 y))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_164`
11×	`add-sqr-sqrt_binary64_100`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28` `associate--l+_binary64_15`
5×	`pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `associate-r_binary64_18` `add-exp-log_binary64_116`
3×	`associate-l_binary64_19` `cancel-sign-sub-inv_binary64_44`
1×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `log-pow_binary64_167` `sub-neg_binary64_71`

Counts

2 → 45

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
0.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
0.0ms	(*.f64 x (log.f64 y))

series333.0ms (5.9%)

Counts

2 → 21

Calls

2 calls:

214.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
119.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 313 to 284 computations (9.3% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5296	630

prune58.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	5	67

Error

0.0b

Counts

67 → 5

Compiler

Compiled 802 to 221 computations (72.4% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.0b	(-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z)
0.0b	(log.f64 (cbrt.f64 y))
0.0b	(log.f64 (cbrt.f64 y))
0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-+r+_binary64_10` `log-prod_binary64_164` `cbrt-prod_binary64_109`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`distribute-lft-in_binary64_27` `add-log-exp_binary64_117` `distribute-rgt-in_binary64_28`
3×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`pow1/3_binary64_160`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `flip-+_binary64_52` `associate-r*_binary64_18` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 64

Calls

8 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series711.0ms (12.7%)

Counts

4 → 18

Calls

4 calls:

286.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
282.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
71.0ms	(cbrt.f64 y)
71.0ms	(cbrt.f64 y)

Compiler

Compiled 624 to 540 computations (13.5% saved)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4881	775
1	4881	775

prune83.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	83	4	87

Error

0.0b

Counts

87 → 4

Compiler

Compiled 1543 to 669 computations (56.6% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.0b	(-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3)))) z)
0.0b	(log.f64 (pow.f64 y 1/3))
0.0b	(log.f64 (cbrt.f64 y))
0.2b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_164`
19×	`add-sqr-sqrt_binary64_100`
17×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
15×	`unpow-prod-down_binary64_157`
14×	`distribute-lft-in_binary64_27` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28`
7×	`add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117`
5×	`sqr-pow_binary64_50`
4×	`associate-r_binary64_18`
3×	`associate-l_binary64_19` `cbrt-prod_binary64_109` `pow-unpow_binary64_155`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip-+_binary64_52` `pow1/3_binary64_160` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `unpow1/3_binary64_145` `distribute-lft-out_binary64_29` `log-pow_binary64_167` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 88

Calls

8 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (cbrt.f64 y))

series750.0ms (13.4%)

Counts

4 → 18

Calls

4 calls:

353.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
257.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
70.0ms	(pow.f64 y 1/3)
70.0ms	(cbrt.f64 y)

Compiler

Compiled 666 to 578 computations (13.2% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4874	950
1	4874	950

prune112.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 2105 to 1020 computations (51.5% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x))
0.2b	(*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)
0.0b	(log.f64 (pow.f64 y (/.f64 1/3 2)))
0.0b	(-.f64 (+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)) z)
0.2b	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x))
0.3b	(.f64 x (.f64 (log.f64 y) 5/6))
0.3b	(*.f64 (log.f64 y) 5/6)
4.1b	(pow.f64 y (/.f64 1/3 2))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
13×	`pow-unpow_binary64_155` `pow1_binary64_139`
12×	`add-exp-log_binary64_116`
11×	`add-cbrt-cube_binary64_114`
9×	`times-frac_binary64_84`
7×	`associate-l_binary64_19`
6×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
3×	`unpow-prod-down_binary64_157`
2×	`*-commutative_binary64_9`
1×	`+-commutative_binary64_8` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `flip-+_binary64_52` `sqr-pow_binary64_50` `div-inv_binary64_75` `pow-pow_binary64_150` `unswap-sqr_binary64_46` `log-pow_binary64_167` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

4 → 75

Calls

8 calls:

7.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x))
5.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
4.0ms	(*.f64 (log.f64 y) 5/6)
4.0ms	(pow.f64 y (/.f64 1/3 2))
0.0ms	(-.f64 (+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x)) z)

series692.0ms (12.3%)

Counts

4 → 18

Calls

4 calls:

415.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (pow.f64 y (/.f64 1/3 2))) x))
140.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
71.0ms	(pow.f64 y (/.f64 1/3 2))
65.0ms	(*.f64 (log.f64 y) 5/6)

Compiler

Compiled 718 to 614 computations (14.5% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4965	849
1	4965	849

prune104.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Error

Counts

98 → 4

Compiler

Compiled 1932 to 1210 computations (37.4% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	271	564
1	271	564

regimes171.0ms (3.1%)

Compiler: Compiled 1421 to 1125 computations (20.8% saved)

bsearch0.0ms (0%)

regimes144.0ms (2.6%)

Compiler: Compiled 1001 to 869 computations (13.2% saved)

bsearch0.0ms (0%)

regimes91.0ms (1.6%)

Compiler: Compiled 526 to 504 computations (4.2% saved)

bsearch0.0ms (0%)

regimes75.0ms (1.3%)

Compiler: Compiled 45 to 87 computations (-93.3% saved)

bsearch40.0ms (0.7%)

Steps

Iters	Range		Point
8	7.816730778774516e-56	4.961149629602133e-51	4.8779414024382666e-51
5	-4.334979806322055e+149	-2.0519522641620097e+149	-2.085724244926605e+149

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.5%)

Compiler: Compiled 27 to 69 computations (-155.6% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 73 to 68 computations (6.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	106
1	85	106

end0.0ms (0%)

sample1.1s (18.7%)

Algorithm

1×

intervals

Results

337.0ms	7998×	body	128	valid
1.0ms	31×	body	128	invalid
1.0ms	28×	body	128	nan
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 422 to 345 computations (18.2% saved)

Pareto

0.816480189177975

Details

analyze198.0ms (3.5%)

sample19.0ms (0.3%)

simplify427.0ms (7.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite14.0ms (0.2%)

series333.0ms (5.9%)

simplify68.0ms (1.2%)

prune58.0ms (1%)

localize16.0ms (0.3%)

rewrite22.0ms (0.4%)

series711.0ms (12.7%)

simplify91.0ms (1.6%)

prune83.0ms (1.5%)

localize18.0ms (0.3%)

rewrite26.0ms (0.5%)

series750.0ms (13.4%)

simplify93.0ms (1.7%)

prune112.0ms (2%)

localize18.0ms (0.3%)

rewrite27.0ms (0.5%)

series692.0ms (12.3%)

simplify55.0ms (1%)

prune104.0ms (1.8%)

simplify11.0ms (0.2%)

regimes171.0ms (3.1%)

bsearch0.0ms (0%)

regimes144.0ms (2.6%)

bsearch0.0ms (0%)

regimes91.0ms (1.6%)

bsearch0.0ms (0%)

regimes75.0ms (1.3%)

bsearch40.0ms (0.7%)

regimes28.0ms (0.5%)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

bsearch0.0ms (0%)

regimes24.0ms (0.4%)

bsearch5.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (18.7%)

Profiling