Details

Time bar (total: 4.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
9.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- t z))
117.0ms
(/ x (* (- y z) (- t z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0300403
11371359
25001355

prune148.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
172.0ms
(cbrt x)
170.0ms
(cbrt x)
135.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05321044
12672853
25002794

prune318.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
10.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- y z))
146.0ms
(cbrt (- y z))
150.0ms
(cbrt (- y z))
124.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify152.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0261760
1921723
24499670
35001660

prune355.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(* (/ (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (- y z)) (/ (cbrt x) (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
39×*-un-lft-identity
37×times-frac
36×add-exp-log associate-*r*
25×add-cube-cbrt
24×add-cbrt-cube
23×cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
10×cbrt-undiv div-exp
7×distribute-lft-out-- difference-of-squares
6×pow1
4×associate-/r/ add-log-exp
3×pow1/3 unswap-sqr
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
23.0ms
(* (/ (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (- y z)) (/ (cbrt x) (- t z)))

series785.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt x)
173.0ms
(cbrt x)
274.0ms
(cbrt (* (cbrt x) (cbrt x)))
143.0ms
(* (/ (* (cbrt x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)))) (- y z)) (/ (cbrt x) (- t z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06291623
133781385
250011347

prune365.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02022
12022

end0.0ms

sample413.0ms

Algorithm
intervals
Results
207.0ms8465×body80valid