Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 11.2b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
11.0b
(/ (- 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
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- x (* y z))
52.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230349
1806322
23227322
35001322

prune126.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New401050
Fresh000
Picked011
Done000
Total401151

Merged error: 10.9b

Counts
51 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.6b
(/ 1 (- t (* a z)))
10.9b
(* (- 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:
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series132.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- x (* y z))
49.0ms
(/ 1 (- t (* a z)))
56.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0312609
11432534
25001508

prune170.0ms

Filtered
96 candidates to 58 candidates (60.4%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh279
Picked011
Done011
Total9611107

Merged error: 10.9b

Counts
107 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-- flip--
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
15.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
145.0ms
(cbrt (- x (* y z)))
115.0ms
(cbrt (- x (* y z)))
124.0ms
(cbrt (- x (* y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05571815
123631695
250011627

prune417.0ms

Filtered
127 candidates to 110 candidates (86.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh088
Picked011
Done022
Total12711138

Merged error: 10.9b

Counts
138 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
10.2b
(cbrt (- t (* a z)))
10.2b
(cbrt (- t (* a z)))
10.2b
(cbrt (- t (* a z)))

rewrite35.0ms

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:
24.0ms
(* (/ 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)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
121.0ms
(cbrt (- t (* a z)))
116.0ms
(cbrt (- t (* a z)))
112.0ms
(cbrt (- t (* a z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06391873
127871621
250011482

prune330.0ms

Filtered
131 candidates to 92 candidates (70.2%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1292131
Fresh167
Picked011
Done033
Total13012142

Merged error: 10.9b

Counts
142 → 12

regimes272.0ms

Accuracy

0% (0.3b remaining)

Error of 10.2b against oracle of 9.9b and baseline of 10.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample522.0ms

Algorithm
intervals
Results
270.0ms8739×body80valid