Details

analyze920.0ms (17.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

sample65.0ms (1.2%)

Algorithm

1×

intervals

Results

22.0ms	344×	body	80	nan
22.0ms	256×	body	80	valid

simplify236.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	5207	19

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.1b

Counts

2 → 1

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 x (*.f64 y 27.0))
1.0b	(.f64 (/.f64 1.0 3.0) (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))
3.6b	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
4.3b	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
36×	`cbrt-unprod_binary64` `prod-exp_binary64`
27×	`cbrt-undiv_binary64` `div-exp_binary64`
26×	`add-sqr-sqrt_binary64`
18×	`associate-l_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`times-frac_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `div-inv_binary64` `sqrt-prod_binary64`
2×	`pow-prod-down_binary64` `associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-*r/_binary64`

Counts

4 → 124

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
11.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
7.0ms	(/.f64 x (*.f64 y 27.0))
7.0ms	(.f64 (/.f64 1.0 3.0) (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))

series46.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
10.0ms	(.f64 (/.f64 1.0 3.0) (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))))
8.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
4.0ms	(/.f64 x (*.f64 y 27.0))

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4996	1946
1	4996	1946

prune214.0ms (4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
1.0b	(/.f64 1.0 (cbrt.f64 3.0))
3.6b	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
4.3b	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`add-exp-log_binary64`
83×	`add-cbrt-cube_binary64`
48×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
35×	`cbrt-unprod_binary64` `prod-exp_binary64`
28×	`associate-r_binary64`
26×	`cbrt-undiv_binary64` `div-exp_binary64`
22×	`cbrt-prod_binary64`
8×	`pow1_binary64` `associate-l_binary64`
7×	`associate-/r*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64` `sqrt-prod_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `associate-*l/_binary64`

Counts

4 → 152

Calls

4 calls:

14.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
10.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
9.0ms	(.f64 (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
4.0ms	(/.f64 1.0 (cbrt.f64 3.0))

series56.0ms (1.1%)

Counts

4 → 10

Calls

4 calls:

28.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
21.0ms	(.f64 (acos.f64 (.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0)) (sqrt.f64 t))) (/.f64 1.0 (cbrt.f64 3.0)))
8.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
0.0ms	(/.f64 1.0 (cbrt.f64 3.0))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5306	2451

prune356.0ms (6.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	162	3	165

Merged error: 0b

Counts

165 → 3

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.6b	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
3.6b	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
4.3b	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
4.3b	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))

rewrite61.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
66×	`cbrt-unprod_binary64` `prod-exp_binary64`
48×	`cbrt-undiv_binary64` `div-exp_binary64`
18×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
8×	`pow1_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

17.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
14.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
11.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
10.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))

series67.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
25.0ms	(.f64 (/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (.f64 z 2.0)) (sqrt.f64 t))
8.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))
7.0ms	(/.f64 (.f64 3.0 (/.f64 x (.f64 y 27.0))) (*.f64 z 2.0))

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5125	2140

prune419.0ms (7.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Merged error: 0b

Counts

157 → 3

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 0.3333333333333333 (acos.f64 (.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (.f64 y z))))))
0.2b	(.f64 0.05555555555555555 (/.f64 x (.f64 y z)))
3.7b	(.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
5.2b	(/.f64 x (*.f64 y z))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
12×	`associate-l_binary64`
11×	`associate-r_binary64`
6×	`cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `associate-/l_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64`
1×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 92

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
7.0ms	(.f64 0.05555555555555555 (/.f64 x (.f64 y z)))
5.0ms	(/.f64 x (*.f64 y z))
4.0ms	(.f64 0.3333333333333333 (acos.f64 (.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (.f64 y z))))))

series53.0ms (1%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (*.f64 y z))))
10.0ms	(.f64 0.3333333333333333 (acos.f64 (.f64 (sqrt.f64 t) (.f64 0.05555555555555555 (/.f64 x (.f64 y z))))))
7.0ms	(.f64 0.05555555555555555 (/.f64 x (.f64 y z)))
6.0ms	(/.f64 x (*.f64 y z))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4988	1053
1	4988	1053

prune108.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

regimes620.0ms (11.7%)

Accuracy

Total 0.3b remaining (98.2%)

Threshold costs 0.3b (98.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	28
1	30	28

end0.0ms (0%)

sample1.7s (31.6%)

Algorithm

1×

intervals

Results

659.0ms	10152×	body	80	nan
548.0ms	8000×	body	80	valid

Details

analyze920.0ms (17.4%)

sample65.0ms (1.2%)

simplify236.0ms (4.5%)

prune8.0ms (0.1%)

localize14.0ms (0.3%)

rewrite45.0ms (0.8%)

series46.0ms (0.9%)

simplify41.0ms (0.8%)

prune214.0ms (4%)

localize18.0ms (0.3%)

rewrite45.0ms (0.8%)

series56.0ms (1.1%)

simplify45.0ms (0.8%)

prune356.0ms (6.7%)

localize20.0ms (0.4%)

rewrite61.0ms (1.1%)

series67.0ms (1.3%)

simplify49.0ms (0.9%)

prune419.0ms (7.9%)

localize12.0ms (0.2%)

rewrite29.0ms (0.6%)

series53.0ms (1%)

simplify70.0ms (1.3%)

prune108.0ms (2%)

regimes620.0ms (11.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (31.6%)

Profiling