Details

analyze857.0ms (14.7%)

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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

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

0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
3.3b	(*.f64 (/.f64 x y) z)

rewrite108.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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

Counts

3 → 79

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series434.0ms (7.5%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

239.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
103.0ms	(*.f64 (/.f64 x y) z)
66.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5171	1334

prune104.0ms (1.8%)

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 1886 to 917 computations (51.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
0.0b	(+.f64 (/.f64 4 y) (/.f64 x y))
3.3b	(*.f64 (/.f64 x y) z)

rewrite105.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`*-un-lft-identity_binary64_78`
18×	`add-sqr-sqrt_binary64_100`
16×	`times-frac_binary64_84`
13×	`add-cube-cbrt_binary64_113` `associate-l_binary64_19`
10×	`add-log-exp_binary64_117`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139`
4×	`associate-*l/_binary64_21` `distribute-lft-out_binary64_29`
3×	`div-inv_binary64_75` `associate-r_binary64_18` `frac-sub_binary64_87`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `sum-log_binary64_169` `frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `*-commutative_binary64_9` `distribute-rgt-out_binary64_31` `+-commutative_binary64_8` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15`

Counts

3 → 66

Calls

3 calls:

19.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
13.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
6.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1522 to 642 computations (57.8% saved)

series412.0ms (7.1%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

208.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
92.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
92.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1178 to 800 computations (32.1% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4960	1297
1	4960	1297

prune80.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Error

0.0b

Counts

106 → 7

Compiler

Compiled 1812 to 813 computations (55.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(*.f64 z (/.f64 (cbrt.f64 x) y))
3.4b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite153.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-exp-log_binary64_116`
35×	`add-cbrt-cube_binary64_114`
33×	`prod-exp_binary64_127`
30×	`add-sqr-sqrt_binary64_100`
23×	`times-frac_binary64_84` `associate-r_binary64_18`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
20×	`cbrt-unprod_binary64_111`
18×	`div-exp_binary64_129`
16×	`cbrt-prod_binary64_109`
11×	`pow1_binary64_139`
10×	`cbrt-undiv_binary64_112` `associate-l_binary64_19`
6×	`1-exp_binary64_122`
4×	`pow-prod-down_binary64_149` `add-log-exp_binary64_117` `associate-*r/_binary64_20`
3×	`unswap-sqr_binary64_46`
2×	`div-inv_binary64_75` `*-commutative_binary64_9` `pow1/3_binary64_160`
1×	`frac-times_binary64_88` `associate-*l/_binary64_21`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
9.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3137 to 1250 computations (60.2% saved)

series588.0ms (10.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

285.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
127.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
81.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)

Compiler

Compiled 1380 to 982 computations (28.8% saved)

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4944	1267
1	4944	1267

prune127.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	132	8	140

Error

Counts

140 → 8

Compiler

Compiled 2974 to 1308 computations (56% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
0.0b	(/.f64 (+.f64 x 4) y)
5.8b	(*.f64 x (/.f64 z y))

rewrite96.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

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-r_binary64_18`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-r/_binary64_20` `associate-l_binary64_19` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series383.0ms (6.6%)

Error

Counts

3 → 33

Calls

3 calls:

208.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
96.0ms	(*.f64 x (/.f64 z y))
58.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 790 computations (29.7% saved)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5547	1346

prune84.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Error

Counts

120 → 8

Compiler

Compiled 1759 to 818 computations (53.5% saved)

regimes434.0ms (7.5%)

Accuracy

Total 0.1b remaining (96.2%)

Threshold costs 0.1b (96.2%)

Compiler

Compiled 4182 to 3101 computations (25.8% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	62
1	81	62

end0.0ms (0%)

sample1.4s (24.5%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
51.0ms	1178×	body	128	invalid

Compiler

Compiled 880 to 648 computations (26.4% saved)

Details

analyze857.0ms (14.7%)

sample22.0ms (0.4%)

simplify55.0ms (0.9%)

prune7.0ms (0.1%)

localize8.0ms (0.1%)

rewrite108.0ms (1.9%)

series434.0ms (7.5%)

simplify71.0ms (1.2%)

prune104.0ms (1.8%)

localize8.0ms (0.1%)

rewrite105.0ms (1.8%)

series412.0ms (7.1%)

simplify58.0ms (1%)

prune80.0ms (1.4%)

localize13.0ms (0.2%)

rewrite153.0ms (2.6%)

series588.0ms (10.1%)

simplify98.0ms (1.7%)

prune127.0ms (2.2%)

localize8.0ms (0.1%)

rewrite96.0ms (1.6%)

series383.0ms (6.6%)

simplify72.0ms (1.2%)

prune84.0ms (1.4%)

regimes434.0ms (7.5%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (24.5%)

Profiling