Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
7.0ms281×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: 9.2b

localize11.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198291
1705269
22758269
35002269

prune100.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 116
Calls
2 calls:
20.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
21.0ms
(/ (- t (* a z)) (- x (* y z)))

series264.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
69.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04561321
121301199
250011113

prune226.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
9.1b
(* (/ 1 (- t (* a z))) (- x (* y z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*l*
9×add-cbrt-cube
5×pow1
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*r/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
10.0ms
(/ 1 (- t (* a z)))
41.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (- t (* a z)))
191.0ms
(* (/ 1 (- t (* a z))) (- x (* y z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336582
11563506
25001486

prune178.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (- t (* a z)))
5.8b
(cbrt (- x (* y z)))
5.8b
(cbrt (- x (* y z)))
5.8b
(cbrt (- x (* y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-- flip--
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/l/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
23.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (- t (* a z)))
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))

series528.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (- t (* a z)))
108.0ms
(cbrt (- x (* y z)))
109.0ms
(cbrt (- x (* y z)))
114.0ms
(cbrt (- x (* y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0323779
11092711
24415701
35002698

prune299.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 8.9b

regimes237.0ms

Accuracy

0% (0.3b remaining)

Error of 10.6b against oracle of 10.3b and baseline of 10.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample616.0ms

Algorithm
intervals
Results
242.0ms8734×body80valid