Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
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: 14.4b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

14.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite7.0ms

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

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0198291
1705269
22744269
35002269

prune105.0ms

Filtered
35 candidates to 28 candidates (80.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh000
Picked011
Done000
Total251136

Merged error: 14.0b

Counts
36 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
13.8b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite16.0ms

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-*r*
9×add-cbrt-cube
5×pow1
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 75
Calls
2 calls:
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series101.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- t (* a z)))
55.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0299549
11422479
25002453

prune127.0ms

Filtered
81 candidates to 44 candidates (54.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh369
Picked011
Done011
Total83992

Merged error: 14.0b

Counts
92 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
13.9b
(/ (- t (* a z)) (- x (* y z)))

rewrite19.0ms

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

series255.0ms

Counts
2 → 6
Calls
2 calls:
204.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
52.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04561319
121301197
250011111

prune174.0ms

Filtered
122 candidates to 62 candidates (50.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1211122
Fresh156
Picked011
Done022
Total1229131

Merged error: 14.0b

Counts
131 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))
11.2b
(cbrt (- t (* a z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
28.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series771.0ms

Counts
4 → 12
Calls
4 calls:
419.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
116.0ms
(cbrt (- t (* a z)))
119.0ms
(cbrt (- t (* a z)))
116.0ms
(cbrt (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06391873
127871621
250011482

prune314.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1301131
Fresh055
Picked011
Done033
Total13010140

Merged error: 14.0b

Counts
140 → 10

regimes229.0ms

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

sample582.0ms

Algorithm
intervals
Results
323.0ms8730×body80valid

Profiling

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