Details

Time bar (total: 4.7s)

sample34.0ms

Algorithm
intervals
Results
7.0ms285×body80nan
7.0ms272×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
10.0ms
(* y (sqrt z))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* y (sqrt z))

simplify106.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0154119
1621106
23007100
35001100

prune75.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
13.0ms
(* y (sqrt (sqrt z)))
40.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(sqrt (sqrt z))
145.0ms
(sqrt (sqrt z))
86.0ms
(* y (sqrt (sqrt z)))
47.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0351549
11510488
25001461

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite17.0ms

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:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series820.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt z) (cbrt z))
196.0ms
(cbrt z)
202.0ms
(cbrt z)
193.0ms
(cbrt z)

simplify100.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune428.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (fabs (cbrt z)) y)
26.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series550.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (fabs (cbrt z)) y)
137.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
190.0ms
(cbrt z)
196.0ms
(cbrt z)

simplify107.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0216422
1958375
23751369
35001364

prune260.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample917.0ms

Algorithm
intervals
Results
236.0ms8556×body80valid
214.0ms8463×body80nan