Details

Time bar (total: 5.4s)

sample52.0ms

Algorithm
intervals
Results
19.0ms40×body1280valid
9.0ms38×body640valid
8.0ms147×body80valid
3.0ms21×body320valid
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
10.0ms
(+ (* x (sin y)) (* z (cos y)))
9.0ms
(* z (cos y))
9.0ms
(* x (sin y))

series165.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(+ (* x (sin y)) (* z (cos y)))
37.0ms
(* z (cos y))
45.0ms
(* x (sin y))

simplify71.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune127.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series753.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt x) (cbrt x))
189.0ms
(cbrt x)
180.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune247.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series731.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
182.0ms
(cbrt x)
181.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify128.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune366.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
8.1b
(cbrt (* x (sin y)))
8.1b
(cbrt (* x (sin y)))
8.1b
(cbrt (* x (sin y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
19.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
4.0ms
(cbrt (* x (sin y)))
5.0ms
(cbrt (* x (sin y)))
5.0ms
(cbrt (* x (sin y)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
124.0ms
(cbrt (* x (sin y)))
124.0ms
(cbrt (* x (sin y)))
126.0ms
(cbrt (* x (sin y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0190460
1631408
23033348
35001326

prune200.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01510
11510

end0.0ms

sample1.6s

Algorithm
intervals
Results
601.0ms1489×body1280valid
306.0ms1217×body640valid
229.0ms4374×body80valid
110.0ms612×body320valid
36.0ms308×body160valid