Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

498×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.2b	(/ (* z z) (* t t))
21.0b	(/ (* x x) (* y y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

24.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
15.0ms	(/ (* z z) (* t t))
13.0ms	(/ (* x x) (* y y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms	(/ (* z z) (* t t))
23.0ms	(/ (* x x) (* y y))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	410
1	1850	329
2	5002	297

prune129.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b	(* (/ x y) (/ x y))
20.2b	(/ (* z z) (* t t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

16.0ms	(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
23.0ms	(* (/ x y) (/ x y))
12.0ms	(/ (* z z) (* t t))

series128.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
25.0ms	(* (/ x y) (/ x y))
23.0ms	(/ (* z z) (* t t))

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	590	695
1	2942	594
2	5002	564

prune211.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (/ x y) (/ x y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

25.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
27.0ms	(* (/ z t) (/ z t))
21.0ms	(* (/ x y) (/ x y))

series125.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
25.0ms	(* (/ z t) (/ z t))
23.0ms	(* (/ x y) (/ x y))

simplify116.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	818	1019
1	4079	895
2	5001	862

prune308.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
20.4b	(cbrt (* (/ x y) (/ x y)))
20.4b	(cbrt (* (/ x y) (/ x y)))
20.4b	(cbrt (* (/ x y) (/ x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

15.0ms	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
7.0ms	(cbrt (* (/ x y) (/ x y)))
7.0ms	(cbrt (* (/ x y) (/ x y)))
8.0ms	(cbrt (* (/ x y) (/ x y)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
76.0ms	(cbrt (* (/ x y) (/ x y)))
75.0ms	(cbrt (* (/ x y) (/ x y)))
72.0ms	(cbrt (* (/ x y) (/ x y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	197	733
1	610	650
2	2523	587
3	5001	573

prune220.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes349.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	14	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

489.0ms

15628×

body

valid