Details

Time bar (total: 5.3s)

sample30.0ms

Algorithm
intervals
Results
17.0ms285×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

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:
3.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- t (* a z))
31.0ms
(- x (* y z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune263.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize10.0ms

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

rewrite31.0ms

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

series561.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* a z))
32.0ms
(- x (* y z))
435.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
60.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05441535
123681380
250031291

prune390.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ (cbrt (- t (* a z))) (- x (* y z)))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/l*
5×flip3-- add-cbrt-cube flip--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 90
Calls
4 calls:
11.0ms
(/ (cbrt (- t (* a z))) (- x (* y z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ (cbrt (- t (* a z))) (- x (* y z)))
126.0ms
(cbrt (- t (* a z)))
125.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0319895
1960861
23839850
35002837

prune395.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.2b

localize14.0ms

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)))))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))
7.7b
(cbrt (- t (* a z)))

rewrite78.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
68.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
1.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
130.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06491929
128271677
250011538

prune446.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 10.2b

regimes324.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.2b and baseline of 10.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample809.0ms

Algorithm
intervals
Results
538.0ms8752×body80valid