Details

analyze270.0ms (7.3%)

Algorithm

1×

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

sample40.0ms (1.1%)

Algorithm

1×

intervals

Results

14.0ms	125×	body	160	valid
8.0ms	291×	pre	80	true
6.0ms	131×	body	80	valid
2.0ms	35×	body	80	nan

simplify254.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune7.0ms (0.2%)

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

Merged error: 25.2b

Counts

2 → 1

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))) b) (.f64 a 2.0))
25.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))) b)

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))) b) (.f64 a 2.0))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))

series83.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))) b) (.f64 a 2.0))
21.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))) b)
18.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4921	1309
1	4921	1309

prune127.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.4b

Counts

83 → 7

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
0.3b	(/.f64 (/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))) (.f64 a 2.0))
0.3b	(/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

102×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
38×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
36×	`associate-/l*_binary64`
20×	`distribute-lft-out_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
8×	`add-log-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`div-sub_binary64` `distribute-frac-neg_binary64`
2×	`cbrt-unprod_binary64` `neg-sub0_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 155

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))) (.f64 a 2.0))
11.0ms	(/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))
8.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

series158.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))
57.0ms	(/.f64 (/.f64 (neg.f64 (.f64 (.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))) (.f64 a 2.0))
19.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	3969
1	4978	3969

prune324.0ms (8.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	157	10	167
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	164	10	174

Merged error: 0b

Counts

174 → 10

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))
0.2b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
0.2b	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/r*_binary64`
3×	`associate-/l*_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))

series111.0ms (3%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))))
19.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c)))
19.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4930	1299
1	4930	1299

prune148.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
0.2b	(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))))
0.4b	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c)))
0.5b	(.f64 (.f64 (.f64 4.0 a) c) (.f64 (*.f64 4.0 a) c))

rewrite54.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`pow1_binary64`
66×	`pow-prod-down_binary64`
44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
32×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
27×	`cbrt-unprod_binary64` `prod-exp_binary64`
24×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
9×	`pow-prod-up_binary64` `associate-/l*_binary64` `pow-sqr_binary64`
7×	`associate-/r*_binary64`
6×	`add-log-exp_binary64`
4×	`distribute-lft-out_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `unpow-prod-down_binary64`
3×	`flip3-+_binary64` `pow-plus_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3--_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `div-sub_binary64` `+-commutative_binary64` `flip--_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 148

Calls

4 calls:

18.0ms	(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))))
12.0ms	(.f64 (.f64 (.f64 4.0 a) c) (.f64 (*.f64 4.0 a) c))
12.0ms	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c)))
5.0ms	(+.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))

series133.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c))))))
31.0ms	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 4.0 a) c) (.f64 (.f64 4.0 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4.0 a) c)))
10.0ms	(+.f64 (.f64 b b) (.f64 (*.f64 4.0 a) c))
10.0ms	(.f64 (.f64 (.f64 4.0 a) c) (.f64 (*.f64 4.0 a) c))

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5114	2782

prune302.0ms (8.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	160	9	169

Merged error: 0b

Counts

169 → 9

regimes201.0ms (5.4%)

Accuracy

Total 0.3b remaining (90.6%)

Threshold costs 0.3b (90.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	98	35
1	98	35

end0.0ms (0%)

sample1.1s (29.4%)

Algorithm

1×

intervals

Results

428.0ms	4485×	body	160	valid
251.0ms	8829×	pre	80	true
174.0ms	3515×	body	80	valid
38.0ms	829×	body	80	nan

Details

analyze270.0ms (7.3%)

sample40.0ms (1.1%)

simplify254.0ms (6.9%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite31.0ms (0.8%)

series83.0ms (2.2%)

simplify54.0ms (1.4%)

prune127.0ms (3.4%)

localize13.0ms (0.3%)

rewrite44.0ms (1.2%)

series158.0ms (4.3%)

simplify66.0ms (1.8%)

prune324.0ms (8.8%)

localize15.0ms (0.4%)

rewrite26.0ms (0.7%)

series111.0ms (3%)

simplify73.0ms (2%)

prune148.0ms (4%)

localize18.0ms (0.5%)

rewrite54.0ms (1.5%)

series133.0ms (3.6%)

simplify41.0ms (1.1%)

prune302.0ms (8.2%)

regimes201.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29.4%)

Profiling