Details

Time bar (total: 4.0s)

sample33.0ms

Algorithm
intervals
Results
9.0ms274×body80valid
6.0ms242×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ x (* y (sqrt z)))
9.0ms
(* y (sqrt z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* y (sqrt z)))
45.0ms
(* y (sqrt z))

simplify118.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune87.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
4.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt z)))
34.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt z))
137.0ms
(sqrt (sqrt z))
78.0ms
(* y (sqrt (sqrt z)))
42.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0336516
11470454
25002427

prune223.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.4b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
14.0ms
(* y (sqrt (sqrt z)))
128.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
36.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (sqrt z))
83.0ms
(* y (sqrt (sqrt z)))
42.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
114.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0477883
12404726
25001646

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 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)

rewrite32.0ms

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×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
7.0ms
(* (fabs (cbrt z)) y)
22.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series518.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (fabs (cbrt z)) y)
128.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
181.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify99.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune200.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample877.0ms

Algorithm
intervals
Results
223.0ms8540×body80valid
207.0ms8583×body80nan