Details

Time bar (total: 3.8s)

sample32.0ms

Algorithm
intervals
Results
9.0ms270×body80valid
8.0ms263×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* y (sqrt z)))
56.0ms
(* y (sqrt z))

simplify109.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune91.0ms

Filtered
39 candidates to 30 candidates (76.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize10.0ms

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)))

rewrite21.0ms

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))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(sqrt (sqrt z))
140.0ms
(sqrt (sqrt z))
75.0ms
(* y (sqrt (sqrt z)))
55.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0299492
11288445
25001425

prune188.0ms

Filtered
100 candidates to 61 candidates (61.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh134
Picked011
Done011
Total1006106

Merged error: 0.0b

Counts
106 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(sqrt (sqrt (sqrt z)))
80.0ms
(* y (sqrt (sqrt z)))
162.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
58.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0484912
12345770
25001723

prune273.0ms

Filtered
120 candidates to 79 candidates (65.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh033
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt z)) y)
0.3b
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite14.0ms

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:
3.0ms
(* (fabs (cbrt z)) y)
7.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series514.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (fabs (cbrt z)) y)
130.0ms
(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
178.0ms
(cbrt z)
183.0ms
(cbrt z)

simplify92.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0210392
1952345
23745339
35001334

prune161.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done033
Total76783

Merged error: 0b

Counts
83 → 7

regimes216.0ms

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

sample904.0ms

Algorithm
intervals
Results
301.0ms8563×body80valid
275.0ms8499×body80nan
0.0ms1×body160valid

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