Details

Time bar (total: 2.8s)

sample32.0ms

Algorithm
intervals
Results
14.0ms389×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
1.7b
(* a (+ t (* z b)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
3.0ms
(+ t (* z b))
3.0ms
(+ x (* a (+ t (* z b))))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
8.0ms
(* a (+ t (* z b)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ t (* z b))
63.0ms
(+ x (* a (+ t (* z b))))
83.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
65.0ms
(* a (+ t (* z b)))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune168.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.3b
(* (* a z) b)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
7×pow1 add-exp-log add-cbrt-cube
6×sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative associate-+l+ flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series102.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms
(* (* a z) b)

simplify34.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0213236
11068205
25002204

prune82.0ms

Filtered
38 candidates to 26 candidates (68.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
1.2b
(* (cbrt a) (+ t (* z b)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unswap-sqr
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
11.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
8.0ms
(* (cbrt a) (+ t (* z b)))

series648.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a)
176.0ms
(cbrt a)
80.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
212.0ms
(* (cbrt a) (+ t (* z b)))

simplify54.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0334575
11541439
25001392

prune235.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

16.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.8b

bsearch52.0ms

Steps
ItersRangePoint
9
-4.440521994170248e-97
-1.137423628053938e-105
-4.2444358340416075e-97

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample868.0ms

Algorithm
intervals
Results
437.0ms11767×body80valid