Details

Time bar (total: 4.5s)

sample61.0ms

Algorithm
intervals
Results
26.0ms58×body1280valid
12.0ms40×body640valid
8.0ms133×body80valid
3.0ms16×body320valid
1.0ms9×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series143.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* x (cos y)) (* z (sin y)))
42.0ms
(* z (sin y))
36.0ms
(* x (cos y))

simplify65.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune166.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New521365
Fresh000
Picked101
Done000
Total531366

Merged error: 0.1b

Counts
66 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite13.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series461.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))
104.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune264.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh3912
Picked101
Done000
Total9412106

Merged error: 0.0b

Counts
106 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.3b
(cbrt (pow (cos y) 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 74
Calls
4 calls:
8.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (pow (cos y) 2))

series322.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
106.0ms
(cbrt (cos y))
163.0ms
(cbrt (pow (cos y) 2))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0244457
11097397
25001378

prune264.0ms

Filtered
86 candidates to 58 candidates (67.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New81586
Fresh4711
Picked101
Done000
Total861298

Merged error: 0.0b

Counts
98 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos y) 2)
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.3b
(cbrt (* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log unpow-prod-down pow-unpow
4×cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-pow pow1/3 pow-exp unpow2 sqr-pow
Counts
4 → 64
Calls
4 calls:
3.0ms
(pow (cos y) 2)
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
8.0ms
(cbrt (* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (cos y) 2)
17.0ms
(pow (cos y) 2)
109.0ms
(cbrt (cos y))
164.0ms
(cbrt (* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3)))

simplify74.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0158334
1526286
21941269
35001247

prune246.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh01111
Picked011
Done000
Total761288

Merged error: 0.0b

Counts
88 → 12

regimes154.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample1.7s

Algorithm
intervals
Results
688.0ms1523×body1280valid
374.0ms1250×body640valid
283.0ms4331×body80valid
121.0ms593×body320valid
41.0ms303×body160valid