Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms286×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
11.1b
(/ (- 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:
2.0ms
(- x (* y z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- x (* y z))
57.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0230349
1806322
23227322
35001322

prune144.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 11.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.8b
(/ 1 (- t (* a z)))
10.6b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite26.0ms

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
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series139.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (* y z))
47.0ms
(/ 1 (- t (* a z)))
58.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0312609
11432534
25001508

prune198.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 11.0b

localize13.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))

rewrite75.0ms

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:
65.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
109.0ms
(cbrt (- t (* a z)))
110.0ms
(cbrt (- t (* a z)))
110.0ms
(cbrt (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06391873
127871621
250011482

prune397.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 11.0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ (/ (- x (* y z)) (cbrt (- t (* a 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)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/l*
22×cbrt-div
16×add-exp-log
12×associate-/r/
11×flip3-- flip--
10×add-cbrt-cube
6×cbrt-undiv div-exp
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×div-sub associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 116
Calls
4 calls:
22.0ms
(/ (/ (- x (* y z)) (cbrt (- t (* a z)))) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
1.0ms
(cbrt (- t (* a z)))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (/ (- x (* y z)) (cbrt (- t (* a z)))) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
110.0ms
(cbrt (- t (* a z)))
110.0ms
(cbrt (- t (* a z)))
111.0ms
(cbrt (- t (* a z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05281842
116071639
250011572

prune403.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 11.0b

regimes472.0ms

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

sample513.0ms

Algorithm
intervals
Results
257.0ms8726×body80valid