Details

Time bar (total: 3.1s)

sample38.0ms

Algorithm
intervals
Results
18.0ms286×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- t (* a z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220349
1753322
22837322
35001322

prune131.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New391150
Fresh000
Picked011
Done000
Total391251

Merged error: 9.0b

Counts
51 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (- t (* a z)))
8.9b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
3.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- t (* a z))
44.0ms
(/ 1 (- t (* a z)))
54.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0321609
11475534
25001508

prune170.0ms

Filtered
96 candidates to 58 candidates (60.4%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh1910
Picked011
Done011
Total9414108

Merged error: 8.9b

Counts
108 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0b
(/ (- t (* a z)) (- x (* y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 128
Calls
3 calls:
5.0ms
(- t (* a z))
12.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series279.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- t (* a z))
191.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
60.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04851379
122281252
250011166

prune201.0ms

Filtered
137 candidates to 74 candidates (54.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1361137
Fresh2911
Picked011
Done022
Total13813151

Merged error: 8.9b

Counts
151 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (/ (- x (* y z)) (- t (* a z))))
9.0b
(/ (- x (* y z)) (- t (* a z)))
9.0b
(/ (- x (* y z)) (- t (* a z)))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-- flip--
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-sub div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 120
Calls
4 calls:
5.0ms
(cbrt (/ (- x (* y z)) (- t (* a z))))
6.0ms
(/ (- x (* y z)) (- t (* a z)))
9.0ms
(/ (- x (* y z)) (- t (* a z)))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt (/ (- x (* y z)) (- t (* a z))))
53.0ms
(/ (- x (* y z)) (- t (* a z)))
54.0ms
(/ (- x (* y z)) (- t (* a z)))
51.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03781230
112151151
250011148

prune351.0ms

Filtered
132 candidates to 109 candidates (82.6%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh099
Picked011
Done033
Total13213145

Merged error: 8.9b

Counts
145 → 13

regimes262.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample617.0ms

Algorithm
intervals
Results
344.0ms8770×body80valid