Details

sample66.0ms

Algorithm

intervals

Results

43.0ms

409×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:

49.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
12.0ms	(+ (+ (* x y) (* z t)) (* a b))

series258.0ms

Counts

2 → 6

Calls

2 calls:

207.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
51.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify116.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	281
1	836	266
2	4400	260
3	5002	260

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite301.0ms

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:

217.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
29.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
102.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	282	1777
1	1019	1653
2	4836	1516
3	5001	1506

prune337.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

27.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
28.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
100.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify66.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	162	884
1	495	816
2	2264	784
3	5001	780

prune318.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (* c i) (* c i))
4.4b	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
34.7b	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

62.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
10.0ms	(* (* c i) (* c i))
27.0ms	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
108.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.8m

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
27.0ms	(* (* c i) (* c i))
1.8m	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
700.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify107.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	574	2150
1	3376	1883
2	5001	1811

prune312.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes397.0ms

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	7
1	22	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

13582×

body

valid