Details

Time bar (total: 2.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify89.0ms

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: 14.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.7b
(/ (- 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:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- t (* a z))
27.0ms
(- x (* y z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune156.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New531265
Fresh000
Picked011
Done000
Total531366

Merged error: 13.6b

Counts
66 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.5b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
13.5b
(/ (- t (* a z)) (- x (* y z)))

rewrite24.0ms

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:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- t (* a z))
27.0ms
(- x (* y z))
198.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
57.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04971437
122451305
250011219

prune236.0ms

Filtered
152 candidates to 85 candidates (55.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1502152
Fresh3811
Picked011
Done011
Total15312165

Merged error: 13.6b

Counts
165 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.2b
(/ 1 (- t (* a z)))
13.6b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite22.0ms

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:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
31.0ms
(- x (* y z))
45.0ms
(/ 1 (- t (* a z)))
55.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0333667
11483587
25002561

prune185.0ms

Filtered
111 candidates to 68 candidates (61.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh099
Picked011
Done022
Total11112123

Merged error: 13.6b

Counts
123 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (/ (- t (* a z)) x))
5.0b
(/ (- t (* a z)) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(- t (* a z))
6.0ms
(/ 1 (/ (- t (* a z)) x))
5.0ms
(/ (- t (* a z)) x)

series172.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- t (* a z))
101.0ms
(/ 1 (/ (- t (* a z)) x))
40.0ms
(/ (- t (* a z)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0402937
11763836
25001759

prune161.0ms

Filtered
127 candidates to 71 candidates (55.9%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1216127
Fresh178
Picked101
Done033
Total12316139

Merged error: 13.6b

Counts
139 → 16

regimes312.0ms

Accuracy

0% (0.4b remaining)

Error of 10.4b against oracle of 10.0b and baseline of 10.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample553.0ms

Algorithm
intervals
Results
293.0ms8754×body80valid