Details

Time bar (total: 6.2s)

sample31.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
3.0ms19×body640valid
2.0ms16×body320valid
1.0ms5×body1280valid
0.0ms6×body160valid

simplify73.0ms

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: 16.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.3b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.8b
(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

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)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- t x) (- a z))
149.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
130.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune292.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New11414128
Fresh000
Picked011
Done000
Total11415129

Merged error: 3.2b

Counts
129 → 15

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
1.3b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
8.9b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
9×prod-exp cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/
3×associate-*r/ distribute-lft-out-- difference-of-squares
2×times-frac pow1/3 unswap-sqr
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
23.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- t x))
143.0ms
(cbrt (- t x))
277.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
153.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06801363
126541151
250011129

prune339.0ms

Filtered
97 candidates to 74 candidates (76.3%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh01313
Picked011
Done011
Total9517112

Merged error: 3.2b

Counts
112 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
1.3b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
9.2b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt (* (cbrt (- t x)) (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
9×prod-exp cbrt-unprod
8×add-cube-cbrt associate-/r/
6×pow1 frac-times add-log-exp
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/
3×associate-*r/ distribute-lft-out-- difference-of-squares
2×times-frac pow1/3 unswap-sqr
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
24.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
4.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt (* (cbrt (- t x)) (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

series715.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- t x))
148.0ms
(cbrt (- t x))
271.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
150.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt (* (cbrt (- t x)) (cbrt (- t x)))) (cbrt (cbrt (- t x)))) (cbrt (- a z)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06861499
127121294
250011272

prune408.0ms

Filtered
97 candidates to 74 candidates (76.3%)
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh01414
Picked011
Done022
Total9618114

Merged error: 3.2b

Counts
114 → 18

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
3.2b
(* (cbrt (- y z)) (/ (- t x) (- a z)))
3.9b
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
7.9b
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

rewrite62.0ms

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)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- y z))
608.0ms
(* (cbrt (- y z)) (/ (- t x) (- a z)))
129.0ms
(* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z))))
154.0ms
(+ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (/ (- t x) (- a z)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08952524
133112274
250012231

prune371.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1762178
Fresh01414
Picked101
Done033
Total17719196

Merged error: 3.2b

Counts
196 → 19

regimes536.0ms

Accuracy

58.1% (3.4b remaining)

Error of 7.5b against oracle of 4.1b and baseline of 12.2b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04338
14338

end0.0ms

sample784.0ms

Algorithm
intervals
Results
322.0ms7803×body80valid
72.0ms498×body640valid
49.0ms269×body1280valid
44.0ms397×body320valid
19.0ms254×body160valid
3.0ms14×body2560valid