Details

analyze626.0ms (11.5%)

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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

18.0ms	242×	body	128	valid
2.0ms	6×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	10×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify457.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (346.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_5897`
14×	`*-un-lft-identity_binary64_5875`
12×	`cancel-sign-sub-inv_binary64_5841`
10×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `associate-*l/_binary64_5818` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
8×	`associate-+r+_binary64_5807` `distribute-rgt-in_binary64_5825` `associate-r_binary64_5815` `distribute-lft-in_binary64_5824`
7×	`flip3--_binary64_5879` `flip--_binary64_5850`
6×	`associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
4×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `sub-neg_binary64_5868` `frac-times_binary64_5885` `prod-exp_binary64_5924`
2×	`distribute-lft-out--_binary64_5827` `difference-of-squares_binary64_5844` `associate-r/_binary64_5817` `-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 77

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
10.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
9.0ms	(*.f64 (-.f64 y x) 6)

series125.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
35.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
20.0ms	(*.f64 (-.f64 y x) 6)

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4971	1338
1	4971	1338

prune127.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	7	87

Error

0.0b

Counts

87 → 7

Compiler

Compiled 1595 to 916 computations (42.6% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6 (-.f64 2/3 z))
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))

rewrite60.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824`
30×	`cancel-sign-sub-inv_binary64_5841`
22×	`add-sqr-sqrt_binary64_5897`
20×	`*-un-lft-identity_binary64_5875`
16×	`add-cube-cbrt_binary64_5910` `associate-+r+_binary64_5807`
10×	`add-exp-log_binary64_5913` `sub-neg_binary64_5868` `associate-*r/_binary64_5817` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
8×	`associate-l_binary64_5816`
7×	`flip3--_binary64_5879` `flip--_binary64_5850`
6×	`associate-r_binary64_5815`
5×	`add-log-exp_binary64_5914`
4×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `frac-times_binary64_5885` `prod-exp_binary64_5924`
2×	`distribute-lft-out--_binary64_5827` `associate-l/_binary64_5818` `difference-of-squares_binary64_5844` `-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 101

Calls

3 calls:

24.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
12.0ms	(*.f64 6 (-.f64 2/3 z))
10.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))

series181.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
60.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z)))
39.0ms	(*.f64 6 (-.f64 2/3 z))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5382	1586

prune139.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Error

0.0b

Counts

117 → 8

Compiler

Compiled 1944 to 1097 computations (43.6% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z))))
0.1b	(.f64 6 (-.f64 4/9 (.f64 z z)))
0.1b	(.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z)))
6.4b	(/.f64 (.f64 6 (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))

rewrite58.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
19×	`*-un-lft-identity_binary64_5875`
18×	`add-sqr-sqrt_binary64_5897`
14×	`associate-r_binary64_5815`
11×	`add-cube-cbrt_binary64_5910`
8×	`times-frac_binary64_5881` `associate-l_binary64_5816` `pow1_binary64_5936`
6×	`cbrt-unprod_binary64_5908` `prod-exp_binary64_5924` `add-log-exp_binary64_5914`
5×	`associate-*r/_binary64_5817`
4×	`cbrt-undiv_binary64_5909` `associate-/r/_binary64_5821` `associate-/r*_binary64_5819` `div-exp_binary64_5926` `flip3--_binary64_5879` `flip--_binary64_5850`
3×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878`
2×	`pow-prod-down_binary64_5946` `div-inv_binary64_5872` `sub-neg_binary64_5868` `associate-/l/_binary64_5822` `cancel-sign-sub-inv_binary64_5841` `associate-l/_binary64_5818` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `difference-of-squares_binary64_5844` `frac-times_binary64_5885` `unswap-sqr_binary64_5843` `-commutative_binary64_5806`
1×	`distribute-lft-out--_binary64_5827` `associate-/l*_binary64_5820` `frac-2neg_binary64_5886` `sum-log_binary64_5966` `+-commutative_binary64_5805` `clear-num_binary64_5874`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z)))
11.0ms	(/.f64 (.f64 6 (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))
8.0ms	(+.f64 x (.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z))))
6.0ms	(.f64 6 (-.f64 4/9 (.f64 z z)))

series448.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(+.f64 x (.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z))))
127.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 6 (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z)))
85.0ms	(/.f64 (.f64 6 (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))
39.0ms	(.f64 6 (-.f64 4/9 (.f64 z z)))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5392	2169

prune158.0ms (2.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	110	9	119

Error

0.0b

Counts

119 → 9

Compiler

Compiled 2631 to 1540 computations (41.5% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3))))
0.1b	(.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3)))
0.2b	(pow.f64 (*.f64 6 (-.f64 2/3 z)) 3)
9.9b	(cbrt.f64 (pow.f64 (*.f64 6 (-.f64 2/3 z)) 3))

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_5906`
16×	`add-sqr-sqrt_binary64_5897`
12×	`associate-*r/_binary64_5817`
11×	`associate-r_binary64_5815` `*-un-lft-identity_binary64_5875`
10×	`cube-div_binary64_5904`
9×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `pow1_binary64_5936`
8×	`add-cbrt-cube_binary64_5911` `cbrt-div_binary64_5907` `flip3--_binary64_5879` `flip--_binary64_5850`
6×	`add-log-exp_binary64_5914`
5×	`associate-l_binary64_5816`
4×	`frac-times_binary64_5885` `sqr-pow_binary64_5847`
3×	`pow-unpow_binary64_5952` `cube-prod_binary64_5903` `unpow3_binary64_5941` `unpow-prod-down_binary64_5954` `unswap-sqr_binary64_5843` `cube-mult_binary64_5905`
2×	`pow-pow_binary64_5947` `pow-prod-down_binary64_5946` `rem-cube-cbrt_binary64_5898` `cbrt-unprod_binary64_5908` `associate-*l/_binary64_5818` `pow-exp_binary64_5943` `prod-exp_binary64_5924`
1×	`distribute-lft-out--_binary64_5827` `flip-+_binary64_5849` `flip3-+_binary64_5878` `rem-cbrt-cube_binary64_5899` `difference-of-squares_binary64_5844` `sum-log_binary64_5966` `+-commutative_binary64_5805` `*-commutative_binary64_5806` `pow1/3_binary64_5957` `pow-to-exp_binary64_5944`

Counts

4 → 92

Calls

4 calls:

22.0ms	(.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3)))
11.0ms	(pow.f64 (*.f64 6 (-.f64 2/3 z)) 3)
6.0ms	(+.f64 x (.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3))))
5.0ms	(cbrt.f64 (pow.f64 (*.f64 6 (-.f64 2/3 z)) 3))

series299.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(+.f64 x (.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3))))
93.0ms	(.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (.f64 6 (-.f64 2/3 z)) 3)))
65.0ms	(cbrt.f64 (pow.f64 (*.f64 6 (-.f64 2/3 z)) 3))
21.0ms	(pow.f64 (*.f64 6 (-.f64 2/3 z)) 3)

simplify145.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4941	1712
1	4941	1712

prune171.0ms (3.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	104	9	113

Error

0.0b

Counts

113 → 9

Compiler

Compiled 1977 to 1275 computations (35.5% saved)

regimes363.0ms (6.7%)

Accuracy

Total 0.2b remaining (82.5%)

Threshold costs 0.2b (82.5%)

Compiler

Compiled 3307 to 2636 computations (20.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	22
1	27	22

end0.0ms (0%)

sample1.6s (30.3%)

Algorithm

1×

intervals

Results

424.0ms	7331×	body	128	valid
55.0ms	240×	body	1024	valid
48.0ms	264×	body	512	valid
36.0ms	591×	body	128	invalid
18.0ms	165×	body	256	valid

Compiler

Compiled 682 to 543 computations (20.4% saved)

Details

analyze626.0ms (11.5%)

sample37.0ms (0.7%)

simplify457.0ms (8.4%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite43.0ms (0.8%)

series125.0ms (2.3%)

simplify75.0ms (1.4%)

prune127.0ms (2.3%)

localize15.0ms (0.3%)

rewrite60.0ms (1.1%)

series181.0ms (3.3%)

simplify67.0ms (1.2%)

prune139.0ms (2.6%)

localize27.0ms (0.5%)

rewrite58.0ms (1.1%)

series448.0ms (8.3%)

simplify58.0ms (1.1%)

prune158.0ms (2.9%)

localize20.0ms (0.4%)

rewrite57.0ms (1.1%)

series299.0ms (5.5%)

simplify145.0ms (2.7%)

prune171.0ms (3.2%)

regimes363.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (30.3%)

Profiling