Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms316×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite48.0ms

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))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ t (- 1.0 z))
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0387632
11452595
25001593

prune212.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New871198
Fresh000
Picked101
Done000
Total881199

Merged error: 0.8b

Counts
99 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
4.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite36.0ms

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:
5.0ms
(/ 1 (- 1.0 z))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms
(* t (/ 1 (- 1.0 z)))
10.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 z))
35.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
38.0ms
(* t (/ 1 (- 1.0 z)))
45.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0495827
12159731
25001689

prune221.0ms

Filtered
137 candidates to 84 candidates (61.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1361137
Fresh3710
Picked101
Done000
Total1408148

Merged error: 0.0b

Counts
148 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.6b
(/ 1 (/ (- 1.0 z) t))
4.6b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
153×add-sqr-sqrt
107×*-un-lft-identity
61×add-cube-cbrt
32×difference-of-squares
19×associate-/r*
18×distribute-lft-out--
16×add-exp-log associate-*r*
10×add-cbrt-cube
7×div-exp div-inv
6×pow1
5×add-log-exp
3×cbrt-undiv sub-neg associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in rec-exp flip3-- distribute-lft-in 1-exp frac-sub flip--
1×pow-flip frac-2neg diff-log pow-prod-down prod-exp clear-num associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 164
Calls
3 calls:
40.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms
(/ 1 (/ (- 1.0 z) t))
45.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
25.0ms
(/ 1 (/ (- 1.0 z) t))
51.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify87.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07061447
131171200
250011192

prune255.0ms

Filtered
173 candidates to 92 candidates (53.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1721173
Fresh167
Picked011
Done000
Total1738181

Merged error: 0.0b

Counts
181 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
3.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
22.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
26.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series759.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(cbrt x)
175.0ms
(cbrt x)
151.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
69.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0426899
11901709
25003639

prune197.0ms

Filtered
103 candidates to 68 candidates (66.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh066
Picked101
Done011
Total1038111

Merged error: 0.0b

Counts
111 → 8

regimes208.0ms

Accuracy

83.8% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05454
15454

end0.0ms

sample613.0ms

Algorithm
intervals
Results
366.0ms10076×body80valid

Profiling

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