Details

Time bar (total: 5.5s)

sample26.0ms

Algorithm
intervals
Results
8.0ms251×body80valid
2.0ms20×body640valid
2.0ms12×body1280valid
1.0ms8×body320valid
0.0ms7×body160valid
0.0ms1×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.8b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.6b
(* (- y z) (/ (- t x) (- a z)))

rewrite33.0ms

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)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- t x) (- a z))
147.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
128.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune314.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(* (cbrt (- a z)) (cbrt (- a z)))
1.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.1b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite64.0ms

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:
6.0ms
(cbrt (- a z))
11.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
35.0ms
(* (/ (- 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)))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- a z))
119.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
292.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
148.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08442163
141931974
250021855

prune536.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
3.3b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
4.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- y z))
150.0ms
(cbrt (- y z))
143.0ms
(cbrt (- y z))
151.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify129.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0261689
1809633
24526622
35002616

prune308.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
9.4b
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
4.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- y z))
146.0ms
(cbrt (- y z))
149.0ms
(cbrt (- y z))
154.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (* (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0265842
1833768
25002759

prune328.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.7b

regimes462.0ms

Accuracy

59.7% (3.8b remaining)

Error of 7.2b against oracle of 3.4b and baseline of 12.9b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04546
14546

end0.0ms

sample683.0ms

Algorithm
intervals
Results
249.0ms7714×body80valid
55.0ms478×body640valid
47.0ms286×body1280valid
36.0ms418×body320valid
17.0ms286×body160valid
5.0ms14×body2560valid