Details

Time bar (total: 5.9s)

sample29.0ms

Algorithm
intervals
Results
7.0ms276×body80valid
7.0ms273×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (sqrt z) y x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(fma (sqrt z) y x)

simplify67.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (64.0ms)

IterNodesCost
07058
117650
252850
3181346
4500143

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(cbrt (fma (sqrt z) y x))

rewrite10.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.0ms
(cbrt (fma (sqrt z) y x))
0.0ms
(cbrt (fma (sqrt z) y x))
1.0ms
(cbrt (fma (sqrt z) y x))

series1.2s

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
315.0ms
(cbrt (fma (sqrt z) y x))
311.0ms
(cbrt (fma (sqrt z) y x))
312.0ms
(cbrt (fma (sqrt z) y x))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0318868
11125805
25001760

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 69
Calls
4 calls:
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
6.0ms
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
239.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
242.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
381.0ms
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

simplify136.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
03141227
110711080
24612999
35001973

prune295.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (sqrt z) y x))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.5b
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
0.6b
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod add-sqr-sqrt
11×pow1
9×add-cube-cbrt *-un-lft-identity pow1/3
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 71
Calls
4 calls:
1.0ms
(cbrt (fma (sqrt z) y x))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
3.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
6.0ms
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt (fma (sqrt z) y x))
242.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
232.0ms
(cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x))))
385.0ms
(* (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))) (cbrt (* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04371182
114621045
25001962

prune322.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample793.0ms

Algorithm
intervals
Results
230.0ms8543×body80valid
218.0ms8479×body80nan