Details

analyze681.0ms (6%)

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%	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)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
8.0ms	19×	body	4096	valid
8.0ms	159×	body	128	valid
4.0ms	19×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	26×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify315.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (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

34.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

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))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite153.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

34.3b

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×	`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:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series820.0ms (7.3%)

Error

5.9b

Counts

4 → 75

Calls

4 calls:

262.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
174.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
162.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
148.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3480 to 2635 computations (24.3% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5552	3116

prune163.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

5.8b

Counts

150 → 11

Compiler

Compiled 3187 to 1729 computations (45.7% saved)

localize11.0ms (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))
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite146.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

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×	`cancel-sign-sub-inv_binary64_385` `difference-of-squares_binary64_388`
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:

15.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.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)

series805.0ms (7.1%)

Error

5.8b

Counts

4 → 75

Calls

4 calls:

272.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
159.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
159.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 3480 to 2635 computations (24.3% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5342	3362

prune161.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Error

5.8b

Counts

169 → 11

Compiler

Compiled 3390 to 1841 computations (45.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
9.3b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite142.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

15×	`*-un-lft-identity_binary64_419`
14×	`add-sqr-sqrt_binary64_441`
11×	`add-cube-cbrt_binary64_454` `times-frac_binary64_425`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-prod_binary64_435`
8×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
6×	`associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `sqrt-div_binary64_436` `flip--_binary64_394` `div-inv_binary64_416`
2×	`diff-log_binary64_511` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `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` `frac-sub_binary64_428` `sub-div_binary64_426` `difference-of-squares_binary64_388` `distribute-rgt-out--_binary64_373` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363`

Counts

4 → 80

Calls

4 calls:

15.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
8.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2581 to 1448 computations (43.9% saved)

series965.0ms (8.6%)

Error

5.8b

Counts

4 → 78

Calls

4 calls:

309.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
257.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
172.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
156.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4129 to 3101 computations (24.9% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5033	3412

prune172.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	158	11	169

Error

5.8b

Counts

169 → 11

Compiler

Compiled 3848 to 2171 computations (43.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
10.1b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite115.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

8×	`add-log-exp_binary64_458`
7×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`cbrt-prod_binary64_450`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `cbrt-div_binary64_451` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
2×	`pow1/3_binary64_501` `diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 52

Calls

4 calls:

10.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2261 to 1179 computations (47.9% saved)

series1.4s (12.2%)

Error

5.8b

Counts

4 → 77

Calls

4 calls:

488.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
290.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
287.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
171.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 8358 to 6354 computations (24% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4951	3831
1	4951	3831

prune420.0ms (3.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	129	11	140

Error

5.8b

Counts

140 → 11

Compiler

Compiled 4737 to 2675 computations (43.5% saved)

regimes1.5s (13.1%)

Accuracy

Total 4.8b remaining (46.2%)

Threshold costs 0b (0%)

Compiler

Compiled 8004 to 5942 computations (25.8% saved)

bsearch73.0ms (0.7%)

Steps

Iters	Range		Point
8	6.51752717363162e-132	1.1912756836542517e-128	1.135926060952553e-128
10	-1.3661910617916625e+154	-5.713820485270025e+143	-6.95099078172988e+146

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	101	58
1	101	58

end0.0ms (0%)

sample2.9s (25.6%)

Algorithm

1×

intervals

Results

282.0ms	1102×	body	2048	valid
277.0ms	5218×	body	128	valid
152.0ms	732×	body	1024	valid
127.0ms	390×	body	4096	valid
57.0ms	380×	body	512	valid
33.0ms	686×	body	128	nan
20.0ms	178×	body	256	valid
19.0ms	369×	body	128	invalid

Compiler

Compiled 2048 to 1518 computations (25.9% saved)

Details

analyze681.0ms (6%)

sample47.0ms (0.4%)

simplify315.0ms (2.8%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite153.0ms (1.4%)

series820.0ms (7.3%)

simplify75.0ms (0.7%)

prune163.0ms (1.4%)

localize11.0ms (0.1%)

rewrite146.0ms (1.3%)

series805.0ms (7.1%)

simplify62.0ms (0.5%)

prune161.0ms (1.4%)

localize15.0ms (0.1%)

rewrite142.0ms (1.3%)

series965.0ms (8.6%)

simplify58.0ms (0.5%)

prune172.0ms (1.5%)

localize15.0ms (0.1%)

rewrite115.0ms (1%)

series1.4s (12.2%)

simplify97.0ms (0.9%)

prune420.0ms (3.7%)

regimes1.5s (13.1%)

bsearch73.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.9s (25.6%)

Profiling