Details

Time bar (total: 4.1s)

sample28.0ms

Algorithm
intervals
Results
16.0ms276×body80valid

simplify88.0ms

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: 9.2b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:
4.0ms
(- x (* y z))
2.0ms
(- t (* a z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- x (* y z))
30.0ms
(- t (* a z))
53.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune162.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
8.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite27.0ms

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
(- x (* y z))
2.0ms
(- t (* a z))
11.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
29.0ms
(- t (* a z))
210.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04971437
122451305
250011219

prune337.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
8.8b
(* (/ 1 (- t (* a z))) (- x (* y 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-*l*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×sub-neg div-exp prod-exp associate-/r/
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in diff-log 1-exp associate-*r/ cbrt-unprod div-inv
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
4.0ms
(- x (* y z))
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (* y z))
32.0ms
(- t (* a z))
47.0ms
(/ 1 (- t (* a z)))
202.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0354698
11596612
25001592

prune249.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- x (* y z)))
0.3b
(/ 1 (- t (* a z)))
8.9b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 365
Calls
4 calls:
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- x (* y z)))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- t (* a z))
43.0ms
(/ 1 (- x (* y z)))
50.0ms
(/ 1 (- t (* a z)))
204.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify78.0ms

Algorithm
egg-herbie
Counts
377 → 377
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015605327
150014825

prune670.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.9b

regimes277.0ms

Accuracy

0% (0.4b remaining)

Error of 10.7b against oracle of 10.2b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample802.0ms

Algorithm
intervals
Results
529.0ms8732×body80valid