Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune281.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1
associate-*r*
cbrt-undiv div-exp add-log-exp
pow1/3 associate-*l*
times-frac unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
12.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt z)
175.0ms
(cbrt z)
173.0ms
(cbrt z)
78.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0301473
11336381
25001342

prune217.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (/ y z))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
84.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0230358
1937310
23854283
35002283

prune193.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (/ y z))
11.8b
(cbrt (/ y z))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
15×cbrt-prod
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
add-log-exp
cbrt-div pow1/3 associate-*r/ associate-*l*
prod-exp cbrt-unprod div-inv unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative
Counts
4 → 74
Calls
4 calls:
7.0ms
(* x (/ y z))
2.0ms
(cbrt (/ y z))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (/ y z))
66.0ms
(cbrt (/ y z))
84.0ms
(cbrt (* x (/ y z)))
79.0ms
(cbrt (* x (/ y z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0279425
11024376
24144356
35002354

prune268.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

39.7% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample501.0ms

Algorithm
intervals
Results
268.0ms9583×body80valid