Details

Time bar (total: 7.0s)

sample28.0ms

Algorithm
intervals
Results
9.0ms240×body80valid
2.0ms13×body1280valid
2.0ms14×body640valid
1.0ms11×body320valid
1.0ms3×body2560valid
0.0ms6×body160valid

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: 15.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.6b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.2b
(* (- 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))))
18.0ms
(* (- y z) (/ (- t x) (- a z)))

series328.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- t x) (- a z))
150.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
127.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune320.0ms

Filtered
128 candidates to 88 candidates (68.8%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New11216128
Fresh000
Picked011
Done000
Total11217129

Merged error: 4.5b

Counts
129 → 17

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
0.9b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
9.0b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
33×cbrt-prod *-un-lft-identity
26×cbrt-div
24×add-exp-log
21×associate-*r*
15×add-cube-cbrt flip3-- flip--
14×add-cbrt-cube
13×pow1 associate-*l*
10×frac-times swap-sqr prod-exp cbrt-unprod
8×associate-/r/ distribute-lft-out--
7×pow1/3
6×associate-*l/ add-log-exp difference-of-squares unswap-sqr
5×associate-*r/
4×cbrt-undiv div-exp
3×pow-prod-down
2×times-frac pow-sqr *-commutative pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+ div-inv
Counts
4 → 126
Calls
4 calls:
3.0ms
(cbrt (- a z))
11.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
28.0ms
(* (- 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)))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- a z))
124.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
282.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
155.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07621695
134341466
250021408

prune443.0ms

Filtered
138 candidates to 93 candidates (67.4%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1353138
Fresh11415
Picked101
Done011
Total13718155

Merged error: 4.5b

Counts
155 → 18

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- a z)))
0.6b
(cbrt (cbrt (- a z)))
0.9b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z))))))
9.5b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
386×cbrt-div
138×frac-times
112×flip3-- flip--
85×associate-*r*
80×associate-/r/
52×associate-*l/
46×add-exp-log
45×associate-*r/
26×cbrt-prod
25×prod-exp cbrt-unprod
24×add-cbrt-cube
18×add-sqr-sqrt
16×*-un-lft-identity
10×add-cube-cbrt
8×cbrt-undiv div-exp
6×pow1 add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-commutative flip3-+ times-frac pow-prod-down sum-log *-commutative flip-+ div-inv unswap-sqr
Counts
4 → 170
Calls
4 calls:
4.0ms
(cbrt (cbrt (- a z)))
4.0ms
(cbrt (cbrt (- a z)))
67.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z))))))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (cbrt (- a z)))
149.0ms
(cbrt (cbrt (- a z)))
283.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z))))))
158.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (* (cbrt (- a z)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (cbrt (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
018114321
150023874

prune970.0ms

Filtered
182 candidates to 146 candidates (80.2%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1793182
Fresh11516
Picked101
Done011
Total18119200

Merged error: 4.5b

Counts
200 → 19

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.4b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.5b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
78×*-un-lft-identity
60×cbrt-prod
54×associate-*r*
52×times-frac
34×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
14×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×add-log-exp
5×associate-*r/ associate-*l/
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 175
Calls
4 calls:
3.0ms
(cbrt (- a z))
11.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
42.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
4.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- a z))
129.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
301.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
161.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify123.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08442163
141931974
250021855

prune448.0ms

Filtered
187 candidates to 124 candidates (66.3%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1852187
Fresh01717
Picked101
Done011
Total18620206

Merged error: 4.5b

Counts
206 → 20

regimes797.0ms

Accuracy

45.6% (6.6b remaining)

Error of 11.0b against oracle of 4.4b and baseline of 16.5b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04847
14847

end0.0ms

sample762.0ms

Algorithm
intervals
Results
297.0ms7758×body80valid
71.0ms493×body640valid
53.0ms306×body1280valid
45.0ms411×body320valid
18.0ms258×body160valid
5.0ms21×body2560valid