Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms389×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
2.3b
(* a (+ t (* z b)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×sum-log
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*r/
1×distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 46
Calls
3 calls:
2.0ms
(+ t (* z b))
7.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
7.0ms
(* a (+ t (* z b)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ t (* z b))
85.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
53.0ms
(* a (+ t (* z b)))

simplify100.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0273310
11168276
25002276

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.3b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
77.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
109.0ms
(cbrt (+ t (* z b)))
106.0ms
(cbrt (+ t (* z b)))
104.0ms
(cbrt (+ t (* z b)))

simplify105.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
04371143
112401039
24398944
35001925

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))
2.7b
(cbrt (+ t (* z b)))

rewrite21.0ms

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:
14.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
1.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
106.0ms
(cbrt (+ t (* z b)))
103.0ms
(cbrt (+ t (* z b)))
104.0ms
(cbrt (+ t (* z b)))

simplify130.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0303872
11042820
24602751
35001740

prune324.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.8b
(* (* a z) b)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
2.0ms
(+ x (* y z))
9.0ms
(+ (+ x (* y z)) (* t a))
39.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

series172.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (* y z))
45.0ms
(+ (+ x (* y z)) (* t a))
79.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms
(* (* a z) b)

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0335378
11670347
25002342

prune168.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

77.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927
13927

end0.0ms

sample813.0ms

Algorithm
intervals
Results
413.0ms11747×body80valid