Details

sample55.0ms

Algorithm

intervals

Results

19.0ms

419×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series127.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (* x y) (* z t)) (* a b))
110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify25.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4991	536
1	4991	536

prune49.0ms

Filtered

25 candidates to 33 candidates (-32.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
49.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
51.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4944	2087
1	4944	2087

prune119.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b))))) (* c i))
0.3b	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.3b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.3b	(sqrt (+ (* x y) (+ (* z t) (* a b))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

13.0ms	(+ (* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b))))) (* c i))
14.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b))))) (* c i))
18.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))
121.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
129.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))

simplify27.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5695	2046

prune92.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

regimes1.3s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

661.0ms

13568×

body

valid

Details

sample55.0ms

simplify3.0ms

prune14.0ms

localize11.0ms

rewrite14.0ms

series127.0ms

simplify25.0ms

prune49.0ms

localize15.0ms

rewrite29.0ms

series244.0ms

simplify59.0ms

prune119.0ms

localize16.0ms

rewrite40.0ms

series385.0ms

simplify27.0ms

prune92.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling