Details

analyze857.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample67.0ms (0.3%)

Algorithm

1×

intervals

Results

21.0ms	247×	body	128	valid
15.0ms	276×	pre	128	true
2.0ms	20×	body	128	nan
2.0ms	9×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify560.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (551.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0%)

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

30.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
30.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite255.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

Rules

21×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
6×	`difference-of-squares_binary64_388` `sqrt-prod_binary64_435` `times-frac_binary64_425` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out--_binary64_371`
2×	`diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366` `sqrt-div_binary64_436`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363` `pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

4 → 74

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
11.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.2s (5.3%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

348.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
276.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
269.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
178.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5207	3272

prune302.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	132	14	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	14	147

Error

0.7b

Counts

147 → 14

Compiler

Compiled 3521 to 1916 computations (45.6% saved)

localize416.0ms (1.8%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite817.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

109×	`add-exp-log_binary64_457`
54×	`prod-exp_binary64_468`
42×	`add-sqr-sqrt_binary64_441`
30×	`div-exp_binary64_470`
29×	`add-cbrt-cube_binary64_455` `unpow-prod-down_binary64_498`
24×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
22×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
19×	`times-frac_binary64_425` `associate-/r_binary64_363` `associate-r*_binary64_359`
16×	`cube-prod_binary64_447` `unswap-sqr_binary64_387`
15×	`sqr-pow_binary64_391`
13×	`associate-l_binary64_360`
10×	`cbrt-unprod_binary64_452`
6×	`cbrt-undiv_binary64_453`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `-commutative_binary64_350`

Counts

4 → 178

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
15.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
14.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series1.3s (5.9%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

492.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
356.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
211.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
187.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify172.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5093	3032

prune914.0ms (4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	207	15	222

Error

0.7b

Counts

222 → 15

Compiler

Compiled 9715 to 5743 computations (40.9% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a c) (*.f64 a c))
0.6b	(pow.f64 (*.f64 a c) 3)

rewrite1.2s (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

88×	`add-exp-log_binary64_457`
68×	`times-frac_binary64_425`
46×	`pow1_binary64_480`
42×	`unpow-prod-down_binary64_498`
39×	`add-cbrt-cube_binary64_455`
37×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
36×	`prod-exp_binary64_468`
27×	`div-exp_binary64_470`
20×	`sqr-pow_binary64_391`
19×	`associate-/r*_binary64_363`
18×	`pow-prod-down_binary64_490`
17×	`pow-exp_binary64_487` `cbrt-unprod_binary64_452`
15×	`cube-prod_binary64_447`
13×	`pow-to-exp_binary64_488`
11×	`unpow3_binary64_485` `cube-mult_binary64_449`
9×	`associate-/l*_binary64_364`
6×	`cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491` `rem-cube-cbrt_binary64_442` `pow-plus_binary64_482` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`
1×	`pow2_binary64_500` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

4 → 205

Calls

4 calls:

23.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
15.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
14.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11659 to 6685 computations (42.7% saved)

series1.5s (6.5%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

574.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
433.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
180.0ms	(pow.f64 (*.f64 a c) 3)
166.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3216 computations (28.5% saved)

simplify167.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5132	3471

prune1.2s (5.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	234	16	250

Error

0.7b

Counts

250 → 16

Compiler

Compiled 12771 to 7686 computations (39.8% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
34.7b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite783.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

97×	`add-exp-log_binary64_457`
45×	`prod-exp_binary64_468`
30×	`div-exp_binary64_470`
27×	`add-cbrt-cube_binary64_455`
26×	`times-frac_binary64_425`
24×	`add-sqr-sqrt_binary64_441`
21×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
19×	`unpow-prod-down_binary64_498` `associate-/r*_binary64_363`
18×	`pow-to-exp_binary64_488` `pow-exp_binary64_487`
12×	`log-pow_binary64_508` `associate-r_binary64_359`
11×	`exp-prod_binary64_471`
10×	`cube-prod_binary64_447`
9×	`cbrt-unprod_binary64_452`
7×	`sqr-pow_binary64_391`
6×	`cbrt-undiv_binary64_453`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`div-inv_binary64_416` `log-prod_binary64_505` `unpow3_binary64_485` `cube-mult_binary64_449`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364`
1×	`rem-log-exp_binary64_460` `associate-l_binary64_360` `*-commutative_binary64_350`

Counts

4 → 152

Calls

4 calls:

21.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
20.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
17.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
10.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

Compiler

Compiled 7608 to 4631 computations (39.1% saved)

series2.2s (9.7%)

Error

0.7b

Counts

4 → 33

Calls

4 calls:

1.0s	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
499.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
366.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
197.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4233 to 3160 computations (25.3% saved)

simplify153.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5143	2841

prune785.0ms (3.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	13	13
Picked	1	0	1
Done	0	2	2
Total	184	17	201

Error

0.7b

Counts

201 → 17

Compiler

Compiled 8529 to 5172 computations (39.4% saved)

regimes1.4s (6.3%)

Accuracy

Total 5.1b remaining (88.3%)

Threshold costs 0b (0%)

Compiler

Compiled 10492 to 7570 computations (27.8% saved)

bsearch14.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	181	135
1	181	135

end0.0ms (0%)

sample6.0s (26.6%)

Algorithm

1×

intervals

Results

720.0ms	7711×	body	128	valid
478.0ms	8860×	pre	128	true
70.0ms	860×	body	128	nan
55.0ms	289×	body	256	valid

Compiler

Compiled 2733 to 1966 computations (28.1% saved)

Details

analyze857.0ms (3.8%)

sample67.0ms (0.3%)

simplify560.0ms (2.5%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite255.0ms (1.1%)

series1.2s (5.3%)

simplify129.0ms (0.6%)

prune302.0ms (1.3%)

localize416.0ms (1.8%)

rewrite817.0ms (3.6%)

series1.3s (5.9%)

simplify172.0ms (0.8%)

prune914.0ms (4%)

localize62.0ms (0.3%)

rewrite1.2s (5.2%)

series1.5s (6.5%)

simplify167.0ms (0.7%)

prune1.2s (5.5%)

localize62.0ms (0.3%)

rewrite783.0ms (3.5%)

series2.2s (9.7%)

simplify153.0ms (0.7%)

prune785.0ms (3.5%)

regimes1.4s (6.3%)

bsearch14.0ms (0.1%)

simplify8.0ms (0%)

end0.0ms (0%)

sample6.0s (26.6%)

Profiling