Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
20.0ms274×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
10.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- x (* y z))
29.0ms
(- t (* a z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune169.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
1.0b
(/ 1 (- t (* a z)))
10.1b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
19.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (* y z))
31.0ms
(- t (* a z))
48.0ms
(/ 1 (- t (* a z)))
52.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0333667
11483587
25002561

prune252.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.6b

localize13.0ms

Local error

Found 4 expressions with local error:

8.2b
(cbrt (- x (* y z)))
8.2b
(cbrt (- x (* y z)))
8.2b
(cbrt (- x (* y z)))
10.7b
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-/l/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp associate-/r* cbrt-unprod
2×associate-/r/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
32.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (- x (* y z)))
111.0ms
(cbrt (- x (* y z)))
111.0ms
(cbrt (- x (* y z)))
89.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04011261
113771086
250011025

prune399.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.6b

localize15.0ms

Local error

Found 4 expressions with local error:

8.2b
(cbrt (- x (* y z)))
8.2b
(cbrt (- x (* y z)))
8.2b
(cbrt (- x (* y z)))
10.7b
(/ (* (* (cbrt (- x (* y z))) (* (cbrt 1) (cbrt (- x (* y z))))) (cbrt (- x (* y z)))) (- t (* a z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-*r/ associate-/l/
18×add-exp-log
14×associate-*l/
11×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 associate-/r*
2×associate-/r/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
58.0ms
(/ (* (* (cbrt (- x (* y z))) (* (cbrt 1) (cbrt (- x (* y z))))) (cbrt (- x (* y z)))) (- t (* a z)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (- x (* y z)))
108.0ms
(cbrt (- x (* y z)))
112.0ms
(cbrt (- x (* y z)))
89.0ms
(/ (* (* (cbrt (- x (* y z))) (* (cbrt 1) (cbrt (- x (* y z))))) (cbrt (- x (* y z)))) (- t (* a z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04541372
117501232
250011211

prune427.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 10.6b

regimes336.0ms

Accuracy

0% (0.4b remaining)

Error of 10.8b against oracle of 10.4b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample920.0ms

Algorithm
intervals
Results
653.0ms8705×body80valid