Details

Time bar (total: 5.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms240×body80valid
2.0ms14×body1280valid
2.0ms20×body320valid
2.0ms11×body640valid
0.0ms6×body160valid
0.0ms2×body2560valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 17.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.0b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.2b
(* (- y z) (/ (- t x) (- a z)))

rewrite37.0ms

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))))
21.0ms
(* (- y z) (/ (- t x) (- a z)))

series320.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- t x) (- a z))
147.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
125.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune290.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New11810128
Fresh000
Picked011
Done000
Total11811129

Merged error: 4.2b

Counts
129 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- t x) (/ 1 (- a z)))
4.0b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.2b
(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite44.0ms

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))
13.0ms
(* (- t x) (/ 1 (- a z)))
4.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
16.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- a z))
49.0ms
(* (- t x) (/ 1 (- a z)))
145.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
128.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05851027
12810910
25003865

prune283.0ms

Filtered
158 candidates to 98 candidates (62.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh099
Picked011
Done011
Total15811169

Merged error: 4.2b

Counts
169 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
3.1b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
3.4b
(* (cbrt (- y z)) (/ (- t x) (- a z)))
9.8b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite63.0ms

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))
25.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
19.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
6.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- y z))
308.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
584.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
149.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08952524
133112274
250012231

prune372.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh088
Picked011
Done022
Total17712189

Merged error: 4.2b

Counts
189 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
6.2b
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
9.3b
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×div-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
9×pow1 frac-times
7×cbrt-undiv add-cube-cbrt
6×flip3-- associate-*r/ flip-- add-log-exp
5×associate-*l* associate-*l/
4×rec-exp cbrt-div 1-exp
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
31.0ms
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
4.0ms
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (- a z))
144.0ms
(cbrt (- a z))
300.0ms
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
145.0ms
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

simplify75.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06311274
125391073
250031034

prune227.0ms

Filtered
102 candidates to 67 candidates (65.7%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh088
Picked011
Done033
Total10212114

Merged error: 4.2b

Counts
114 → 12

regimes470.0ms

Accuracy

55.2% (4.6b remaining)

Error of 8.7b against oracle of 4.1b and baseline of 14.3b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03954
13954

end0.0ms

sample756.0ms

Algorithm
intervals
Results
300.0ms7877×body80valid
69.0ms474×body640valid
49.0ms270×body1280valid
46.0ms412×body320valid
17.0ms242×body160valid
4.0ms18×body2560valid