Details

analyze545.0ms

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

sample37.0ms

Algorithm

intervals

Results

29.0ms

256×

body

128

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5090	46

prune7.0ms

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
36×	`associate-l_binary64`
35×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`pow1_binary64` `distribute-lft-out_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
4×	`cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-+l+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 132

Calls

4 calls:

20.0ms	(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)
22.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
21.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
44.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))

series186.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)
37.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
38.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
76.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))

simplify63.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4963	4163
1	4963	4163

prune297.0ms

Filtered

114 candidates to 144 candidates (-26.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	143	3	146

Merged error: 0b

Counts

146 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
0.0b	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
31×	`distribute-lft-out_binary64`
12×	`associate-/r_binary64` `associate-/l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
4×	`pow1_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 132

Calls

4 calls:

24.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
242.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

series167.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
65.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5))
32.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
39.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

simplify93.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5293	4724

prune234.0ms

Filtered

96 candidates to 144 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Merged error: 0b

Counts

147 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (pow.f64 t 3))
9.3b	(-.f64 (+.f64 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 3)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `diff-log_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 2 (pow.f64 t 3))
8.0ms	(-.f64 (+.f64 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 3)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(*.f64 2 (pow.f64 t 3))
35.0ms	(-.f64 (+.f64 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 3)))

simplify69.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5144	635

prune27.0ms

Filtered

30 candidates to 50 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Merged error: 0b

Counts

53 → 3

regimes11.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	46
1	19	46

end0.0ms

sample1.0s

Algorithm

intervals

Results

925.0ms

8000×

body

128

valid

Details

analyze545.0ms

sample37.0ms

simplify64.0ms

prune7.0ms

localize10.0ms

rewrite130.0ms

series186.0ms

simplify63.0ms

prune297.0ms

localize11.0ms

rewrite316.0ms

series167.0ms

simplify93.0ms

prune234.0ms

localize7.0ms

rewrite18.0ms

series83.0ms

simplify69.0ms

prune27.0ms

regimes11.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling