Details

Time bar (total: 3.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (+ z x)))
0.0b
(* y (+ z x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ x (* y (+ z x)))
6.0ms
(* y (+ z x))

series49.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (* y (+ z x)))
24.0ms
(* y (+ z x))

simplify95.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23889149
35003149

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
3.3b
(cbrt (* y (+ z x)))
3.3b
(cbrt (* y (+ z x)))
3.3b
(cbrt (* y (+ z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.0ms
(cbrt (* y (+ z x)))
4.0ms
(cbrt (* y (+ z x)))
4.0ms
(cbrt (* y (+ z x)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
101.0ms
(cbrt (* y (+ z x)))
98.0ms
(cbrt (* y (+ z x)))
99.0ms
(cbrt (* y (+ z x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0254585
1799531
22788474
35001464

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×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 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series713.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt y) (cbrt y))
171.0ms
(cbrt y)
168.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959242
35002240

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.0b
(+ (pow z 3) (pow x 3))
7.1b
(* y (+ (pow z 3) (pow x 3)))
27.0b
(cbrt (+ (* z z) (- (* x x) (* z x))))
34.9b
(cbrt (* y (+ (pow z 3) (pow x 3))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
10×distribute-lft-out
9×add-sqr-sqrt associate-*r*
8×unpow-prod-down cube-prod
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
4×cbrt-prod cbrt-div flip3-+ associate-*r/ flip-+
3×associate-*l*
2×pow1/3 sum-cubes
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 69
Calls
4 calls:
13.0ms
(+ (pow z 3) (pow x 3))
14.0ms
(* y (+ (pow z 3) (pow x 3)))
5.0ms
(cbrt (+ (* z z) (- (* x x) (* z x))))
11.0ms
(cbrt (* y (+ (pow z 3) (pow x 3))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (pow z 3) (pow x 3))
87.0ms
(* y (+ (pow z 3) (pow x 3)))
127.0ms
(cbrt (+ (* z z) (- (* x x) (* z x))))
98.0ms
(cbrt (* y (+ (pow z 3) (pow x 3))))

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0374530
11681479
25002465

prune291.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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)

IterNodesCost
093
193

end0.0ms

sample403.0ms

Algorithm
intervals
Results
209.0ms10146×body80valid