Details

analyze1.5s (17.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3763	60
1	3763	60
0	3	3
1	3	3

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
3.0ms	52×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

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

0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.7b	(*.f64 (/.f64 x y) z)

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-r_binary64_18` `associate-l/_binary64_21` `associate-/r_binary64_22`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

17.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
12.0ms	(*.f64 (/.f64 x y) z)
10.0ms	(/.f64 (+.f64 x 4) y)

series704.0ms (8.3%)

Counts

3 → 33

Calls

3 calls:

414.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
178.0ms	(*.f64 (/.f64 x y) z)
112.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 722 to 601 computations (16.8% saved)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5171	1334

prune184.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Error

0.0b

Counts

114 → 7

Compiler

Compiled 1891 to 920 computations (51.3% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_109`
8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 y)

series501.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt.f64 y)
127.0ms	(cbrt.f64 x)
120.0ms	(cbrt.f64 y)
119.0ms	(cbrt.f64 y)

Compiler

Compiled 688 to 472 computations (31.4% saved)

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune120.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Error

0.0b

Counts

63 → 7

Compiler

Compiled 1716 to 586 computations (65.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.3b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-exp-log_binary64_116`
31×	`add-cbrt-cube_binary64_114` `prod-exp_binary64_127`
18×	`cbrt-unprod_binary64_111`
17×	`div-exp_binary64_129`
9×	`add-sqr-sqrt_binary64_100` `cbrt-undiv_binary64_112` `add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
7×	`associate-l_binary64_19`
6×	`1-exp_binary64_122`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `times-frac_binary64_84` `pow-prod-down_binary64_149` `associate-*r/_binary64_20`
1×	`-commutative_binary64_9` `div-inv_binary64_75` `frac-times_binary64_88` `associate-r_binary64_18` `associate-l/_binary64_21`

Counts

4 → 78

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series587.0ms (7%)

Counts

4 → 18

Calls

4 calls:

208.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
131.0ms	(cbrt.f64 x)
127.0ms	(cbrt.f64 x)
120.0ms	(cbrt.f64 x)

Compiler

Compiled 656 to 530 computations (19.2% saved)

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4958	727
1	4958	727

prune153.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Error

Counts

103 → 8

Compiler

Compiled 1953 to 902 computations (53.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x 4))
0.0b	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
0.1b	(/.f64 1 (/.f64 y (+.f64 x 4)))
3.7b	(*.f64 (/.f64 x y) z)

rewrite106.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

124×	`times-frac_binary64_84`
104×	`*-un-lft-identity_binary64_78`
77×	`add-sqr-sqrt_binary64_100`
72×	`add-cube-cbrt_binary64_113`
22×	`associate-/r*_binary64_22` `add-exp-log_binary64_116`
16×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
13×	`associate-l_binary64_19`
11×	`associate-/r/_binary64_24`
9×	`div-exp_binary64_129`
7×	`div-inv_binary64_75` `pow1_binary64_139`
6×	`add-log-exp_binary64_117` `associate-/l*_binary64_23`
5×	`cbrt-undiv_binary64_112` `flip-+_binary64_52` `flip3-+_binary64_81`
3×	`associate-r_binary64_18`
2×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-*l/_binary64_21` `unswap-sqr_binary64_46` `clear-num_binary64_77`
1×	`*-commutative_binary64_9` `inv-pow_binary64_163` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `pow-flip_binary64_152` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 174

Calls

4 calls:

40.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
16.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))
12.0ms	(*.f64 (/.f64 x y) z)
9.0ms	(/.f64 y (+.f64 x 4))

series817.0ms (9.7%)

Counts

4 → 48

Calls

4 calls:

392.0ms	(-.f64 (/.f64 1 (/.f64 y (+.f64 x 4))) (*.f64 (/.f64 x y) z))
179.0ms	(*.f64 (/.f64 x y) z)
130.0ms	(/.f64 y (+.f64 x 4))
115.0ms	(/.f64 1 (/.f64 y (+.f64 x 4)))

Compiler

Compiled 1124 to 935 computations (16.8% saved)

simplify163.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4913	3223
1	4913	3223

prune366.0ms (4.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	222	8	230

Error

Counts

230 → 8

Compiler

Compiled 4218 to 2232 computations (47.1% saved)

regimes479.0ms (5.7%)

Accuracy

Total 0.7b remaining (99.3%)

Threshold costs 0.7b (99.3%)

Compiler

Compiled 2542 to 1906 computations (25% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms (0%)

sample2.1s (24.3%)

Algorithm

1×

intervals

Results

600.0ms	8000×	body	128	valid
87.0ms	1194×	body	128	invalid

Compiler

Compiled 537 to 400 computations (25.5% saved)

Details

analyze1.5s (17.4%)

sample39.0ms (0.5%)

simplify101.0ms (1.2%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite50.0ms (0.6%)

series704.0ms (8.3%)

simplify118.0ms (1.4%)

prune184.0ms (2.2%)

localize35.0ms (0.4%)

rewrite15.0ms (0.2%)

series501.0ms (5.9%)

simplify140.0ms (1.7%)

prune120.0ms (1.4%)

localize28.0ms (0.3%)

rewrite45.0ms (0.5%)

series587.0ms (7%)

simplify126.0ms (1.5%)

prune153.0ms (1.8%)

localize19.0ms (0.2%)

rewrite106.0ms (1.3%)

series817.0ms (9.7%)

simplify163.0ms (1.9%)

prune366.0ms (4.3%)

regimes479.0ms (5.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.1s (24.3%)

Profiling