Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
96.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
35.0ms
(- (/ y z) (/ t (- 1.0 z)))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune248.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
5.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
10.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
19.0ms
(* t (/ 1 (- 1.0 z)))
26.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
38.0ms
(* t (/ 1 (- 1.0 z)))
47.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0495827
12180731
25003689

prune277.0ms

Filtered
137 candidates to 83 candidates (60.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
0.0b
(/ t (- 1.0 z))
3.6b
(* (- x) (/ t (- 1.0 z)))
7.5b
(* x (/ y z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
48×*-un-lft-identity
41×times-frac
34×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
8×pow1
7×distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-/r*
4×associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×cbrt-undiv distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in div-exp div-inv associate-/l*
2×flip3-- pow-prod-down *-commutative flip--
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+
Counts
4 → 131
Calls
4 calls:
4.0ms
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
5.0ms
(/ t (- 1.0 z))
20.0ms
(* (- x) (/ t (- 1.0 z)))
7.0ms
(* x (/ y z))

series183.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (* x (/ y z)) (* (- x) (/ t (- 1.0 z))))
39.0ms
(/ t (- 1.0 z))
56.0ms
(* (- x) (/ t (- 1.0 z)))
20.0ms
(* x (/ y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0646813
13110755
25001754

prune357.0ms

Filtered
143 candidates to 105 candidates (73.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(* (- x) (/ t (- 1.0 z)))
4.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
43×associate-*r*
42×add-sqr-sqrt
37×*-un-lft-identity
34×times-frac
31×add-cube-cbrt
30×add-exp-log
23×add-cbrt-cube
15×pow1 cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
7×pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ associate-/r/ *-commutative div-inv unswap-sqr
1×distribute-lft-neg-out neg-mul-1 flip3-- flip--
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
19.0ms
(* (- x) (/ t (- 1.0 z)))
47.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series456.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
177.0ms
(cbrt y)
61.0ms
(* (- x) (/ t (- 1.0 z)))
38.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify101.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0690845
13676690
25001653

prune344.0ms

Filtered
129 candidates to 93 candidates (72.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

73.2% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06574
16974
27274
37274

end0.0ms

sample534.0ms

Algorithm
intervals
Results
290.0ms10113×body80valid