Details

Time bar (total: 2.6s)

sample33.0ms

Algorithm
intervals
Results
14.0ms283×body80valid

simplify91.0ms

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: 10.3b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

9.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite6.0ms

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:
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series19.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198291
1705269
22744269
35002269

prune71.0ms

Filtered
35 candidates to 28 candidates (20.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New28735
Fresh000
Picked011
Done000
Total28836

Merged error: 9.9b

Counts
36 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.7b
(/ (- t (* a z)) (- x (* y z)))

rewrite25.0ms

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:
11.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
5.0ms
(/ (- t (* a z)) (- x (* y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
26.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04561319
121301197
250011111

prune105.0ms

Filtered
122 candidates to 62 candidates (49.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1184122
Fresh246
Picked101
Done011
Total1219130

Merged error: 9.9b

Counts
130 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
0.6b
(/ 1 (- x (* y z)))
9.2b
(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
28×add-sqr-sqrt
23×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
16×prod-exp
15×associate-*r*
10×rec-exp 1-exp associate-/r/
9×pow1
6×cbrt-undiv flip3-- flip-- associate-/l*
4×frac-times associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×*-commutative
Counts
3 → 119
Calls
3 calls:
9.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
4.0ms
(/ 1 (- x (* y z)))
10.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

series90.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
10.0ms
(/ 1 (- x (* y z)))
22.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0415910
12012751
25002712

prune112.0ms

Filtered
128 candidates to 66 candidates (48.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh077
Picked011
Done011
Total12710137

Merged error: 9.9b

Counts
137 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
7.0b
(cbrt (- t (* a z)))
7.0b
(cbrt (- t (* a z)))
7.0b
(cbrt (- t (* a z)))

rewrite36.0ms

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:
25.0ms
(* (/ 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)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
31.0ms
(cbrt (- t (* a z)))
35.0ms
(cbrt (- t (* a z)))
31.0ms
(cbrt (- t (* a z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06491897
128201645
250011500

prune120.0ms

Filtered
131 candidates to 92 candidates (29.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1301131
Fresh077
Picked011
Done022
Total13011141

Merged error: 9.9b

Counts
141 → 11

regimes574.0ms

Accuracy

0% (0.3b remaining)

Error of 10.1b against oracle of 9.8b and baseline of 10.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample784.0ms

Algorithm
intervals
Results
314.0ms8649×body80valid

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