Details

Time bar (total: 3.6s)

sample27.0ms

Algorithm
intervals
Results
17.0ms264×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
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
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
60.0ms
(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304403
11399360
25002360

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

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) (- y t)))

rewrite51.0ms

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*
prod-exp cbrt-unprod
cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
pow1 unswap-sqr
associate-/r/ add-log-exp
pow1/3
flip3-- flip-- div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
173.0ms
(cbrt x)
202.0ms
(cbrt x)
82.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05331044
12673853
25001794

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.8b
(/ 1 (/ (* (- y z) (- y t)) x))
8.3b
(/ (* (- y z) (- y t)) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
frac-times associate-/l/
cbrt-undiv
pow1 div-inv
associate-*r* associate-*l* prod-exp
associate-*r/ associate-*l/ associate-/l*
rec-exp 1-exp cbrt-unprod add-log-exp
distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
18.0ms
(* (- y z) (- y t))
12.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
10.0ms
(/ (* (- y z) (- y t)) x)

series208.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- y z) (- y t))
129.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
48.0ms
(/ (* (- y z) (- y t)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0530854
12893750
25001713

prune246.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- y t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- y t))

series90.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- y z))
62.0ms
(/ (/ x (- y z)) (- y t))

simplify66.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06401735
123171691
250011691

prune484.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample689.0ms

Algorithm
intervals
Results
467.0ms8436×body80valid