Details

analyze650.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3819	52
1	3819	52
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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample83.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 2579 to 3092 computations (-19.9% saved)

simplify175.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

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

7.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

7.3b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite99.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

55×	`add-sqr-sqrt_binary64_14422`
53×	`*-un-lft-identity_binary64_14400`
42×	`times-frac_binary64_14406`
20×	`difference-of-squares_binary64_14369`
15×	`add-cube-cbrt_binary64_14435`
9×	`distribute-lft-out_binary64_14351`
8×	`associate-/r*_binary64_14344`
5×	`distribute-lft-out--_binary64_14352`
4×	`associate-/l*_binary64_14345`
3×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
2×	`associate-/l/_binary64_14347` `associate-/r/_binary64_14346`
1×	`pow1_binary64_14461` `div-exp_binary64_14451` `add-log-exp_binary64_14439` `cbrt-undiv_binary64_14434` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `flip3-+_binary64_14403` `flip-+_binary64_14374` `flip3--_binary64_14404` `flip--_binary64_14375`

Counts

1 → 60

Calls

1 calls:

15.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 1216 to 500 computations (58.9% saved)

series291.0ms (2.1%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

271.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 832 to 572 computations (31.3% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5150	1742

prune84.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Error

0.0b

Counts

82 → 5

Compiler

Compiled 1412 to 569 computations (59.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (/.f64 y z) (/.f64 y z))
6.5b	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
12.5b	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))

rewrite258.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

86×	`*-un-lft-identity_binary64_14400`
81×	`times-frac_binary64_14406`
79×	`add-sqr-sqrt_binary64_14422`
53×	`add-cube-cbrt_binary64_14435`
39×	`associate-l_binary64_14341`
22×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
18×	`difference-of-squares_binary64_14369`
17×	`associate-r_binary64_14340`
13×	`swap-sqr_binary64_14367`
12×	`pow1_binary64_14461` `distribute-lft-out_binary64_14351`
6×	`div-exp_binary64_14451` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `cbrt-undiv_binary64_14434` `unswap-sqr_binary64_14368` `div-inv_binary64_14397`
5×	`associate-/r*_binary64_14344`
4×	`associate-/r/_binary64_14346` `associate-/l*_binary64_14345`
3×	`add-log-exp_binary64_14439` `flip3-+_binary64_14403` `frac-times_binary64_14410` `flip-+_binary64_14374` `associate-*r/_binary64_14342`
2×	`pow-prod-down_binary64_14471` `associate-l/_binary64_14343` `flip3--_binary64_14404` `flip--_binary64_14375` `-commutative_binary64_14331` `associate-/l/_binary64_14347`
1×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `pow2_binary64_14481` `pow-prod-up_binary64_14470` `pow-plus_binary64_14463` `pow-sqr_binary64_14373`

Counts

3 → 164

Calls

3 calls:

19.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
11.0ms	(*.f64 (/.f64 y z) (/.f64 y z))
7.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))

Compiler

Compiled 5007 to 1787 computations (64.3% saved)

series1.0s (7.4%)

Error

0.0b

Counts

3 → 43

Calls

3 calls:

502.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 1 (.f64 (/.f64 y z) (/.f64 y z)))) (+.f64 1 (/.f64 y z)))
336.0ms	(/.f64 (+.f64 y x) (-.f64 1 (*.f64 (/.f64 y z) (/.f64 y z))))
133.0ms	(*.f64 (/.f64 y z) (/.f64 y z))

Compiler

Compiled 2474 to 1830 computations (26% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5017	4379

prune257.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	207	5	212

Error

0.0b

Counts

212 → 5

Compiler

Compiled 5115 to 2180 computations (57.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (sqrt.f64 (-.f64 1 (/.f64 y z))))
0.1b	(/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z))))
3.8b	(sqrt.f64 (-.f64 1 (/.f64 y z)))
3.8b	(sqrt.f64 (-.f64 1 (/.f64 y z)))

rewrite2.3s (16.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1334×	`times-frac_binary64_14406`
1220×	`add-sqr-sqrt_binary64_14422`
1082×	`*-un-lft-identity_binary64_14400`
848×	`sqrt-prod_binary64_14416`
424×	`difference-of-squares_binary64_14369`
370×	`add-cube-cbrt_binary64_14435`
144×	`distribute-lft-out_binary64_14351`
106×	`distribute-lft-out--_binary64_14352`
54×	`associate-/l*_binary64_14345`
32×	`sqrt-div_binary64_14417`
28×	`associate-/r/_binary64_14346`
22×	`associate-/r*_binary64_14344`
16×	`flip3--_binary64_14404` `flip--_binary64_14375`
14×	`div-inv_binary64_14397`
11×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
6×	`pow1_binary64_14461`
4×	`add-log-exp_binary64_14439` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
3×	`associate-/l/_binary64_14347`
2×	`pow1/2_binary64_14480` `sqrt-pow1_binary64_14418` `rem-sqrt-square_binary64_14413` `frac-2neg_binary64_14411` `clear-num_binary64_14399`
1×	`flip3-+_binary64_14403` `flip-+_binary64_14374`

Counts

4 → 743

Calls

4 calls:

43.0ms	(/.f64 (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (sqrt.f64 (-.f64 1 (/.f64 y z))))
13.0ms	(/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z))))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 y z)))
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 28021 to 14099 computations (49.7% saved)

series762.0ms (5.5%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

303.0ms	(/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z))))
293.0ms	(/.f64 (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 1 (/.f64 y z)))) (sqrt.f64 (-.f64 1 (/.f64 y z))))
64.0ms	(sqrt.f64 (-.f64 1 (/.f64 y z)))
55.0ms	(sqrt.f64 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 2688 to 1871 computations (30.4% saved)

simplify337.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

798 → 798

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5069	33898

prune1.7s (12.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	798	0	798
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	798	5	803

Error

0.0b

Counts

803 → 5

Compiler

Compiled 24530 to 11495 computations (53.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (/.f64 z (/.f64 y z)))
0.1b	(/.f64 z (/.f64 y z))
2.0b	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))

rewrite211.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

94×	`times-frac_binary64_14406`
69×	`*-un-lft-identity_binary64_14400`
68×	`add-sqr-sqrt_binary64_14422`
61×	`add-cube-cbrt_binary64_14435`
26×	`cancel-sign-sub-inv_binary64_14366`
14×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
13×	`associate-/r*_binary64_14344`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
7×	`div-inv_binary64_14397`
6×	`associate-l_binary64_14341` `associate-r_binary64_14340`
5×	`pow1_binary64_14461` `add-log-exp_binary64_14439` `associate-/r/_binary64_14346`
4×	`flip3-+_binary64_14403` `frac-times_binary64_14410` `flip-+_binary64_14374`
3×	`flip3--_binary64_14404` `flip--_binary64_14375` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `associate-/l*_binary64_14345`
2×	`sub-neg_binary64_14393` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `distribute-rgt1-in_binary64_14356` `distribute-rgt-out_binary64_14353` `distribute-lft-out_binary64_14351` `difference-of-squares_binary64_14369`
1×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `distribute-lft-out--_binary64_14352` `*-commutative_binary64_14331` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `sum-log_binary64_14491` `+-commutative_binary64_14330`

Counts

3 → 144

Calls

3 calls:

28.0ms	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))
14.0ms	(+.f64 z (/.f64 z (/.f64 y z)))
6.0ms	(/.f64 z (/.f64 y z))

Compiler

Compiled 3538 to 1101 computations (68.9% saved)

series735.0ms (5.3%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

473.0ms	(*.f64 (+.f64 z (/.f64 z (/.f64 y z))) (-.f64 -1 (/.f64 x y)))
129.0ms	(+.f64 z (/.f64 z (/.f64 y z)))
97.0ms	(/.f64 z (/.f64 y z))

Compiler

Compiled 1498 to 1076 computations (28.2% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5113	3523

prune160.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	182	6	188

Error

Counts

188 → 6

Compiler

Compiled 3512 to 965 computations (72.5% saved)

regimes774.0ms (5.6%)

Accuracy

Total 0.1b remaining (98.4%)

Threshold costs 0.1b (98.4%)

Compiler

Compiled 5198 to 3544 computations (31.8% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	70
1	58	70

end0.0ms (0%)

sample3.6s (26.3%)

Algorithm

1×

intervals

Results

233.0ms	7995×	body	128	valid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 81356 to 96916 computations (-19.1% saved)

Details

analyze650.0ms (4.7%)

sample83.0ms (0.6%)

simplify175.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite99.0ms (0.7%)

series291.0ms (2.1%)

simplify65.0ms (0.5%)

prune84.0ms (0.6%)

localize12.0ms (0.1%)

rewrite258.0ms (1.9%)

series1.0s (7.4%)

simplify90.0ms (0.7%)

prune257.0ms (1.9%)

localize9.0ms (0.1%)

rewrite2.3s (16.7%)

series762.0ms (5.5%)

simplify337.0ms (2.4%)

prune1.7s (12.2%)

localize8.0ms (0.1%)

rewrite211.0ms (1.5%)

series735.0ms (5.3%)

simplify81.0ms (0.6%)

prune160.0ms (1.2%)

regimes774.0ms (5.6%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (26.3%)

Profiling