Details

sample27.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

10.0ms

393×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune4.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune61.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) (neg x))
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))
0.0b	(* (- y z) t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`distribute-rgt-neg-out`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+r+`

Counts

4 → 86

Calls

4 calls:

7.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
8.0ms	(* (- y z) (neg x))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) t)

series41.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) (neg x))
12.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(* (- y z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5001	518

prune90.0ms

Filtered

78 candidates to 98 candidates (-25.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Merged error: 0b

Counts

100 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
3.4b	(- (* y y) (* z z))
5.9b	(* (- (* y y) (* z z)) (- t x))
22.3b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`times-frac` `associate-r/` `associate-l` `associate-l/` `associate-/r*`
3×	`sub-neg` `distribute-lft-out` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
3.0ms	(- (* y y) (* z z))
9.0ms	(* (- (* y y) (* z z)) (- t x))
11.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series92.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
8.0ms	(- (* y y) (* z z))
13.0ms	(* (- (* y y) (* z z)) (- t x))
19.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify69.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	511	877
1	2627	791
2	5002	783

prune94.0ms

Filtered

77 candidates to 103 candidates (-33.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes234.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample740.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

340.0ms

12165×

body

valid

Details

sample27.0ms

simplify81.0ms

prune4.0ms

localize6.0ms

rewrite17.0ms

series23.0ms

simplify35.0ms

prune61.0ms

localize8.0ms

rewrite30.0ms

series41.0ms

simplify58.0ms

prune90.0ms

localize10.0ms

rewrite33.0ms

series92.0ms

simplify69.0ms

prune94.0ms

regimes234.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample740.0ms

Profiling