Details

Time bar (total: 3.5s)

sample30.0ms

Algorithm
intervals
Results
12.0ms332×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.2b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite53.0ms

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:
21.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25002593

prune170.0ms

Filtered
98 candidates to 71 candidates (27.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New861298
Fresh000
Picked011
Done000
Total861399

Merged error: 0.3b

Counts
99 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.9b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.9b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.9b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
44.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
35.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
35.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
04331357
110301273
228101253
350011220

prune284.0ms

Filtered
109 candidates to 84 candidates (22.9%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1063109
Fresh2911
Picked011
Done011
Total10814122

Merged error: 0.3b

Counts
122 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
25.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
21.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
58.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
58.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
55.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0321744
11176683
25001648

prune216.0ms

Filtered
80 candidates to 65 candidates (18.8%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh01111
Picked011
Done022
Total801494

Merged error: 0.3b

Counts
94 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
2.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite56.0ms

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)
25.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
26.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
45.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0448958
11805775
25001689

prune98.0ms

Filtered
103 candidates to 66 candidates (35.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1012103
Fresh3710
Picked011
Done123
Total10512117

Merged error: 0.0b

Counts
117 → 12

regimes852.0ms

Accuracy

94% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04852
14852

end0.0ms

sample794.0ms

Algorithm
intervals
Results
354.0ms10055×body80valid

Profiling

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