Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms272×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: 9.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite16.0ms

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))
5.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- x (* y z))
33.0ms
(- t (* a z))
53.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune164.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.6b
(/ 1 (- t (* a z)))
9.1b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite33.0ms

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))
5.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
30.0ms
(- t (* a z))
50.0ms
(/ 1 (- t (* a z)))
53.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0333667
11483587
25002561

prune236.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.4b

localize13.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
72.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
117.0ms
(cbrt (- t (* a z)))
168.0ms
(cbrt (- t (* a z)))
121.0ms
(cbrt (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06391873
127871621
250011482

prune398.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.4b

localize12.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (- x (* y z)))
5.8b
(cbrt (- x (* y z)))
5.8b
(cbrt (- x (* y z)))
9.5b
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

rewrite40.0ms

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:
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
31.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- x (* y z)))
121.0ms
(cbrt (- x (* y z)))
113.0ms
(cbrt (- x (* y z)))
85.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04011261
113771086
250011025

prune401.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.4b

regimes206.0ms

Accuracy

0% (0.4b remaining)

Error of 10.3b against oracle of 9.9b and baseline of 10.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample701.0ms

Algorithm
intervals
Results
451.0ms8721×body80valid