Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
28.0ms
(- x (* y z))
56.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune232.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.5b
(/ 1 (- t (* a z)))
8.8b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 119
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
17.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
27.0ms
(- x (* y z))
48.0ms
(/ 1 (- t (* a z)))
53.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0380761
11594661
25001633

prune294.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0b
(/ (- t (* a z)) (- x (* y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×fma-neg prod-diff div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 160
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
13.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0ms
(/ (- t (* a z)) (- x (* y z)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* a z))
30.0ms
(- x (* y z))
204.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
53.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05441535
123681380
250031291

prune341.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 9.0b

localize11.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
6.3b
(cbrt (- x (* y z)))
6.3b
(cbrt (- x (* y z)))
6.3b
(cbrt (- x (* y z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 110
Calls
4 calls:
41.0ms
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
1.0ms
(cbrt (- x (* y z)))
1.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (cbrt (- x (* y z))) (- t (* a z))))
109.0ms
(cbrt (- x (* y z)))
108.0ms
(cbrt (- x (* y z)))
108.0ms
(cbrt (- x (* y z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05741610
122261457
250011396

prune397.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 9.0b

regimes261.0ms

Accuracy

0% (0.3b remaining)

Error of 11.0b against oracle of 10.6b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample517.0ms

Algorithm
intervals
Results
264.0ms8740×body80valid