Details

analyze908.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4877	216
1	4877	216
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
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
4.0ms	19×	body	128	nan
1.0ms	13×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify349.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (342.0ms)

Iter	Nodes	Cost
0	2977	54
1	2977	54

prune8.0ms (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

19.8b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
1.4b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite150.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

19.8b

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 59

Calls

4 calls:

11.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 2821 to 1660 computations (41.2% saved)

series806.0ms (7.1%)

Error

5.0b

Counts

4 → 74

Calls

4 calls:

190.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
176.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
172.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))))
156.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 7324 to 5040 computations (31.2% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4987	2510
1	4987	2510

prune239.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	5	134

Error

5.0b

Counts

134 → 5

Compiler

Compiled 5469 to 3100 computations (43.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (.f64 2 a))
0.4b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite163.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`sqrt-prod_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-lft-out--_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (.f64 2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

Compiler

Compiled 2914 to 1592 computations (45.4% saved)

series803.0ms (7.1%)

Error

4.9b

Counts

4 → 72

Calls

4 calls:

222.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (.f64 2 a))
168.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
167.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 5217 to 3573 computations (31.5% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5151	2990

prune204.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	143	8	151

Error

4.8b

Counts

151 → 8

Compiler

Compiled 4813 to 2477 computations (48.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (/.f64 1/2 a))
0.4b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite162.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

28×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
4×	`difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

Compiler

Compiled 3279 to 1800 computations (45.1% saved)

series801.0ms (7.1%)

Error

4.8b

Counts

4 → 72

Calls

4 calls:

227.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))) b) (/.f64 1/2 a))
169.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
162.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))

Compiler

Compiled 5217 to 3573 computations (31.5% saved)

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5101	3242

prune225.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	153	10	163

Error

4.8b

Counts

163 → 10

Compiler

Compiled 5168 to 2673 computations (48.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
11.1b	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.7b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite370.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

76×	`sqrt-prod_binary64`
60×	`add-sqr-sqrt_binary64`
34×	`sqrt-pow1_binary64`
29×	`pow1_binary64`
28×	`sqrt-div_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`pow1/2_binary64`
15×	`swap-sqr_binary64`
10×	`rem-sqrt-square_binary64`
9×	`flip3--_binary64` `flip--_binary64` `pow-prod-up_binary64` `unswap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64` `pow-sqr_binary64`
4×	`sqr-abs_binary64` `frac-times_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64`

Counts

4 → 132

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
17.0ms	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 7276 to 3773 computations (48.1% saved)

series726.0ms (6.4%)

Error

4.8b

Counts

4 → 65

Calls

4 calls:

206.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
176.0ms	(-.f64 (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
138.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6021 to 4043 computations (32.9% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5191	3970

prune309.0ms (2.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	197	10	207

Error

4.8b

Counts

207 → 10

Compiler

Compiled 7662 to 3974 computations (48.1% saved)

regimes1.3s (11.7%)

Accuracy

Total 1.5b remaining (22.1%)

Threshold costs 0b (0%)

Compiler

Compiled 12626 to 8794 computations (30.4% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	183	465
1	183	465

end0.0ms (0%)

sample3.4s (29.8%)

Algorithm

1×

intervals

Results

684.0ms	8000×	body	128	valid
64.0ms	742×	body	128	nan
30.0ms	370×	body	128	invalid

Compiler

Compiled 3484 to 2388 computations (31.5% saved)

Details

analyze908.0ms (8%)

sample44.0ms (0.4%)

simplify349.0ms (3.1%)

prune8.0ms (0.1%)

localize23.0ms (0.2%)

rewrite150.0ms (1.3%)

series806.0ms (7.1%)

simplify69.0ms (0.6%)

prune239.0ms (2.1%)

localize24.0ms (0.2%)

rewrite163.0ms (1.4%)

series803.0ms (7.1%)

simplify55.0ms (0.5%)

prune204.0ms (1.8%)

localize21.0ms (0.2%)

rewrite162.0ms (1.4%)

series801.0ms (7.1%)

simplify60.0ms (0.5%)

prune225.0ms (2%)

localize27.0ms (0.2%)

rewrite370.0ms (3.3%)

series726.0ms (6.4%)

simplify79.0ms (0.7%)

prune309.0ms (2.7%)

regimes1.3s (11.7%)

bsearch10.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.4s (29.8%)

Profiling