Details

analyze351.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

sample23.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4731	17
1	4731	17

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity_binary64`
44×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
18×	`distribute-lft-out_binary64`
12×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

4 → 129

Calls

4 calls:

6.0ms	(/.f64 4 (+.f64 1 t))
26.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
24.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
15.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/.f64 4 (+.f64 1 t))
5.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
5.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
4.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

simplify58.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4783	2310
1	4783	2310

prune109.0ms

Filtered

90 candidates to 141 candidates (-56.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	142	1	143

Merged error: 0b

Counts

143 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
0.0b	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
0.0b	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
39×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `pow1_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`associate-l_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`cbrt-undiv_binary64` `unswap-sqr_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `flip--_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 131

Calls

4 calls:

6.0ms	(/.f64 4 (+.f64 1 t))
27.0ms	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
21.0ms	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
21.0ms	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/.f64 4 (+.f64 1 t))
5.0ms	(-.f64 1 (/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6)))
5.0ms	(/.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t))) 6))
5.0ms	(*.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4945	2236
1	4945	2236

prune113.0ms

Filtered

97 candidates to 143 candidates (-47.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	1	144

Merged error: 0b

Counts

144 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample650.0ms

Algorithm

intervals

Results

546.0ms

8000×

body

valid

Details

analyze351.0ms

sample23.0ms

simplify66.0ms

prune5.0ms

localize9.0ms

rewrite76.0ms

series17.0ms

simplify58.0ms

prune109.0ms

localize10.0ms

rewrite79.0ms

series17.0ms

simplify64.0ms

prune113.0ms

simplify2.0ms

end0.0ms

sample650.0ms

Profiling