Details

Time bar (total: 3.9s)

sample34.0ms

Algorithm
intervals
Results
22.0ms274×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- 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
(- t (* a z))
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
27.0ms
(- x (* y z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune166.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.9b
(/ 1 (- t (* a z)))
8.5b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite27.0ms

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
(- t (* a z))
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
16.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
31.0ms
(- x (* y z))
44.0ms
(/ 1 (- t (* a z)))
55.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0333667
11483587
25002561

prune236.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.1b
(/ (- t (* a z)) (- x (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 140
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.0ms
(/ (- t (* a z)) (- x (* y z)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
27.0ms
(- x (* y z))
210.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
53.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04971437
122451305
250011219

prune278.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-- flip--
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
20.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series417.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
109.0ms
(cbrt (- x (* y z)))
110.0ms
(cbrt (- x (* y z)))
113.0ms
(cbrt (- x (* y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05571815
123631695
250011627

prune422.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.9b

regimes207.0ms

Accuracy

0% (0.4b remaining)

Error of 11.0b against oracle of 10.6b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample1.1s

Algorithm
intervals
Results
820.0ms8749×body80valid