Details

Time bar (total: 5.8s)

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms9×body1280valid
1.0ms11×body640valid
1.0ms13×body320valid
1.0ms8×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune2.0ms

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: 13.3b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.6b
(* (- y z) (/ (- t x) (- a z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- t x) (- a z))
155.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
133.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune300.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh000
Picked101
Done000
Total11811129

Merged error: 3.3b

Counts
129 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.2b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.7b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
39.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series764.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- a z))
151.0ms
(cbrt (- a z))
304.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
159.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07441831
132871663
250011576

prune410.0ms

Filtered
146 candidates to 104 candidates (71.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1442146
Fresh1910
Picked011
Done000
Total14512157

Merged error: 3.3b

Counts
157 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
4.6b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
4.6b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (- a z))
17.0ms
(* (- t x) (/ 1 (- a z)))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1 (- a z))
49.0ms
(* (- t x) (/ 1 (- a z)))
156.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
129.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05851027
12810910
25003865

prune309.0ms

Filtered
158 candidates to 99 candidates (62.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1562158
Fresh1910
Picked011
Done101
Total15812170

Merged error: 3.2b

Counts
170 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
2.1b
(* (cbrt (- y z)) (/ (- t x) (- a z)))
2.8b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
7.3b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
84×frac-times
58×flip3-- flip--
52×add-sqr-sqrt
42×*-un-lft-identity
40×associate-*l/
32×associate-*r*
30×add-exp-log
27×times-frac associate-*r/
18×pow1 add-cube-cbrt add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-prod distribute-lft-out-- difference-of-squares
9×associate-*l* pow-prod-down
6×add-log-exp
4×unswap-sqr
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative
1×+-commutative flip3-+ pow1/3 sum-log flip-+ div-inv
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (- y z))
22.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
24.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
3.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- y z))
617.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
131.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
159.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08952524
133112274
250012231

prune381.0ms

Filtered
178 candidates to 103 candidates (57.9%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1753178
Fresh1910
Picked011
Done011
Total17614190

Merged error: 3.2b

Counts
190 → 14

regimes449.0ms

Accuracy

49.7% (5.5b remaining)

Error of 9.7b against oracle of 4.2b and baseline of 15.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04745
14745

end0.0ms

sample702.0ms

Algorithm
intervals
Results
271.0ms7835×body80valid
64.0ms510×body640valid
41.0ms270×body1280valid
35.0ms384×body320valid
16.0ms257×body160valid
3.0ms16×body2560valid