Details

analyze605.0ms (4.7%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	172×	body	128	valid
10.0ms	39×	body	2048	valid
4.0ms	14×	body	4096	valid
4.0ms	20×	body	1024	valid
1.0ms	19×	body	128	nan
1.0ms	6×	body	256	valid
1.0ms	5×	body	512	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify564.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (418.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (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

34.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite232.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

34.4b

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×	`sqrt-prod_binary64_435` `difference-of-squares_binary64_388` `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×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `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`

Counts

4 → 74

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
18.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series830.0ms (6.5%)

Error

6.9b

Counts

4 → 65

Calls

4 calls:

250.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
218.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
152.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
149.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2718 to 2066 computations (24% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5017	2714

prune174.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	128	11	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	12	140

Error

6.8b

Counts

140 → 12

Compiler

Compiled 2956 to 1596 computations (46% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite158.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

28×	`add-sqr-sqrt_binary64_441`
18×	`*-un-lft-identity_binary64_419`
14×	`add-cube-cbrt_binary64_454`
13×	`associate-r_binary64_359`
10×	`times-frac_binary64_425`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458`
7×	`pow1_binary64_480`
6×	`associate-l_binary64_360`
5×	`flip3--_binary64_423` `flip--_binary64_394` `sqrt-prod_binary64_435`
4×	`difference-of-squares_binary64_388` `cancel-sign-sub-inv_binary64_385`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-times_binary64_429` `unswap-sqr_binary64_387` `associate-*l/_binary64_362`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-r/_binary64_361` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 83

Calls

4 calls:

18.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series851.0ms (6.6%)

Error

6.8b

Counts

4 → 65

Calls

4 calls:

242.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
209.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
187.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
163.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2718 to 2066 computations (24% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5013	2960

prune206.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	149	11	160

Error

6.8b

Counts

160 → 11

Compiler

Compiled 3167 to 1708 computations (46.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite239.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

15×	`add-sqr-sqrt_binary64_441`
10×	`sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`
8×	`add-cube-cbrt_binary64_454`
7×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `sqrt-div_binary64_436`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `flip--_binary64_394`
3×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371`

Counts

4 → 62

Calls

4 calls:

16.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3504 to 1972 computations (43.7% saved)

series830.0ms (6.5%)

Error

6.8b

Counts

4 → 62

Calls

4 calls:

187.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
182.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
172.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
167.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 7323 to 4710 computations (35.7% saved)

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4899	2083
1	4899	2083

prune342.0ms (2.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	123	12	135

Error

6.8b

Counts

135 → 12

Compiler

Compiled 6177 to 3413 computations (44.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite273.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

Rules

15×	`add-sqr-sqrt_binary64_441`
10×	`sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`
8×	`add-cube-cbrt_binary64_454`
7×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `sqrt-div_binary64_436`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `flip--_binary64_394`
3×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371`

Counts

4 → 62

Calls

4 calls:

17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4000 to 2182 computations (45.5% saved)

series879.0ms (6.8%)

Error

6.8b

Counts

4 → 62

Calls

4 calls:

198.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
181.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
178.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
177.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 8571 to 5484 computations (36% saved)

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5004	2107

prune386.0ms (3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	124	12	136

Error

6.8b

Counts

136 → 12

Compiler

Compiled 6946 to 3827 computations (44.9% saved)

regimes1.6s (12.7%)

Accuracy

Total 5.6b remaining (50.1%)

Threshold costs 0b (0%)

Compiler

Compiled 9224 to 6838 computations (25.9% saved)

bsearch57.0ms (0.4%)

Steps

Iters	Range		Point
8	1.0162495497630023e-144	2.1708429355624913e-140	2.111603012388429e-140
2	-3.380711156596153e+39	-3.0077068653261083e+39	-3.334085620187398e+39

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	58
1	94	58

end0.0ms (0%)

sample4.1s (31.6%)

Algorithm

1×

intervals

Results

360.0ms	1126×	body	2048	valid
358.0ms	5176×	body	128	valid
189.0ms	755×	body	1024	valid
157.0ms	393×	body	4096	valid
73.0ms	372×	body	512	valid
43.0ms	697×	body	128	nan
29.0ms	382×	body	128	invalid
23.0ms	178×	body	256	valid

Compiler

Compiled 2353 to 1745 computations (25.8% saved)

Details

analyze605.0ms (4.7%)

sample48.0ms (0.4%)

simplify564.0ms (4.4%)

prune7.0ms (0.1%)

localize27.0ms (0.2%)

rewrite232.0ms (1.8%)

series830.0ms (6.5%)

simplify84.0ms (0.7%)

prune174.0ms (1.4%)

localize16.0ms (0.1%)

rewrite158.0ms (1.2%)

series851.0ms (6.6%)

simplify90.0ms (0.7%)

prune206.0ms (1.6%)

localize23.0ms (0.2%)

rewrite239.0ms (1.9%)

series830.0ms (6.5%)

simplify128.0ms (1%)

prune342.0ms (2.7%)

localize18.0ms (0.1%)

rewrite273.0ms (2.1%)

series879.0ms (6.8%)

simplify82.0ms (0.6%)

prune386.0ms (3%)

regimes1.6s (12.7%)

bsearch57.0ms (0.4%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (31.6%)

Profiling