Details

Time bar (total: 4.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify68.0ms

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: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.6b
(/ x (* (- y z) (- t z)))

rewrite22.0ms

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:
10.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
128.0ms
(/ x (* (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0300403
11371359
25001355

prune155.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)
1.3b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite34.0ms

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)
26.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
176.0ms
(cbrt x)
177.0ms
(cbrt x)
143.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05321044
12672853
25002794

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 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 x)
0.6b
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
18×associate-*l*
12×cbrt-prod cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 frac-times
8×associate-/r/
7×associate-*r/
6×flip3-- times-frac flip--
5×associate-*l/
4×add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 99
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
34.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
183.0ms
(cbrt x)
182.0ms
(cbrt x)
152.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04761463
122131014
25001784

prune290.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
54×add-cbrt-cube
52×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
18×cbrt-prod associate-*l*
12×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 frac-times
8×associate-/r/
7×associate-*r/
6×flip3-- times-frac flip--
5×associate-*l/
4×add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z))))
2.0ms
(cbrt (cbrt x))

series781.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt x)
184.0ms
(cbrt x)
150.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z))))
254.0ms
(cbrt (cbrt x))

simplify88.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06292479
131201750
250011647

prune365.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample425.0ms

Algorithm
intervals
Results
220.0ms8419×body80valid