Details

Time bar (total: 4.9s)

sample50.0ms

Algorithm
intervals
Results
34.0ms341×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
2.2b
(* a (+ t (* z b)))

rewrite12.0ms

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

series144.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ t (* z b))
60.0ms
(+ x (* a (+ t (* z b))))
55.0ms
(* a (+ t (* z b)))

simplify155.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233259
1962236
24850236
35002236

prune141.0ms

Pruning

6 alts after pruning (5 fresh and 1 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))))
2.0ms
(cbrt (+ t (* z b)))
1.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (cbrt (+ t (* z b))) (cbrt (+ t (* z b))))
111.0ms
(cbrt (+ t (* z b)))
110.0ms
(cbrt (+ t (* z b)))
105.0ms
(cbrt (+ t (* z b)))

simplify135.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0303872
11042820
24602751
35001740

prune471.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.8b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
1.9b
(* (cbrt a) (+ t (* z b)))

rewrite33.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
20.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
10.0ms
(* (cbrt a) (+ t (* z b)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt a)
173.0ms
(cbrt a)
80.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))
213.0ms
(* (cbrt a) (+ t (* z b)))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0334575
11541439
25001392

prune258.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
6.6b
(* (* a z) b)

rewrite59.0ms

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:
40.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms
(+ x (* y z))
9.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(* (* a z) b)

series177.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms
(+ x (* y z))
43.0ms
(+ (+ x (* y z)) (* t a))
25.0ms
(* (* a z) b)

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0335378
11670347
25002342

prune163.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

45.3% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.8b

bsearch62.0ms

Steps
ItersRangePoint
8
6.216204094895687e-43
7.206589139597913e-40
5.0210463174598584e-42

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s11648×body80valid