Details

Time bar (total: 2.9s)

sample28.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.2b
(/ (- x (* y z)) (- t (* a z)))

rewrite9.0ms

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:
2.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- t (* a z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220349
1753322
22823322
35001322

prune102.0ms

Filtered
50 candidates to 39 candidates (22.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New391150
Fresh000
Picked011
Done000
Total391251

Merged error: 11.2b

Counts
51 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
11.1b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite19.0ms

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:
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series35.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
10.0ms
(/ 1 (- t (* a z)))
18.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0321607
11475532
25001506

prune111.0ms

Filtered
96 candidates to 55 candidates (42.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh3710
Picked011
Done011
Total9612108

Merged error: 11.2b

Counts
108 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.6b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.1b
(/ (- t (* a z)) (- x (* y z)))

rewrite24.0ms

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

series70.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
45.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
19.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04851377
122281250
250011164

prune159.0ms

Filtered
137 candidates to 77 candidates (43.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1352137
Fresh189
Picked011
Done022
Total13613149

Merged error: 11.2b

Counts
149 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

7.1b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))

rewrite20.0ms

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-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
11.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
30.0ms
(cbrt (- t (* a z)))
30.0ms
(cbrt (- t (* a z)))
33.0ms
(cbrt (- t (* a z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0467887
11339819
24608785
35001776

prune94.0ms

Filtered
83 candidates to 70 candidates (15.7%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New82183
Fresh099
Picked011
Done033
Total821496

Merged error: 11.2b

Counts
96 → 14

regimes689.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample883.0ms

Algorithm
intervals
Results
369.0ms8715×body80valid

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