Details

Time bar (total: 4.6s)

sample42.0ms

Algorithm
intervals
Results
14.0ms34×body1280valid
10.0ms180×body80valid
5.0ms19×body640valid
2.0ms12×body320valid
1.0ms11×body160valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2415
3575
4685
5865
61315
72145
82725
92965
103285
113965
123965

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
10×add-sqr-sqrt add-log-exp
8×add-cube-cbrt
5×pow1 add-exp-log add-cbrt-cube
4×fma-neg prod-diff
3×expm1-log1p-u fma-def associate-*r* associate-*l* log1p-expm1-u distribute-lft-out
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 61
Calls
3 calls:
22.0ms
(- (+ x (cos y)) (* z (sin y)))
3.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series112.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (+ x (cos y)) (* z (sin y)))
24.0ms
(+ x (cos y))
42.0ms
(* z (sin y))

simplify94.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0223348
1754317
23691316
35001309

prune176.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series740.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt z) (cbrt z))
180.0ms
(cbrt z)
181.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune292.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.9b
(cbrt (* z (sin y)))
6.9b
(cbrt (* z (sin y)))
6.9b
(cbrt (* z (sin y)))

rewrite15.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
6.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
126.0ms
(cbrt (* z (sin y)))
120.0ms
(cbrt (* z (sin y)))
118.0ms
(cbrt (* z (sin y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
6.9b
(cbrt (* z (sin y)))
6.9b
(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series533.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
98.0ms
(cbrt (sin y))
121.0ms
(cbrt (* z (sin y)))
128.0ms
(cbrt (* z (sin y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune240.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01815
11815

end0.0ms

sample1.2s

Algorithm
intervals
Results
409.0ms1011×body1280valid
294.0ms5569×body80valid
189.0ms779×body640valid
71.0ms408×body320valid
27.0ms233×body160valid