Details

Time bar (total: 5.9s)

sample27.0ms

Algorithm
intervals
Results
8.0ms251×body80valid
2.0ms20×body640valid
2.0ms12×body1280valid
1.0ms8×body320valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.5b
(+ x (/ (* (- y z) (- t x)) (- a z)))
16.6b
(/ (* (- y z) (- t x)) (- a z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
9.0ms
(* (- y z) (- t x))
7.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
16.0ms
(/ (* (- y z) (- t x)) (- a z))

series325.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y z) (- t x))
156.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
135.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0466583
12158534
25001534

prune247.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

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:
3.0ms
(cbrt (- a z))
10.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
40.0ms
(* (/ (- 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)))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- a z))
133.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
309.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
156.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08442163
141931974
250021855

prune540.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.5b

localize16.0ms

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))))))

series628.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (- y z))
156.0ms
(cbrt (- y z))
153.0ms
(cbrt (- y z))
156.0ms
(+ x (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify133.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0261689
1809633
24526622
35002616

prune315.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
5.0b
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
11×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×flip3-- flip--
6×add-cube-cbrt add-log-exp
4×pow1 add-exp-log frac-times add-cbrt-cube
3×pow1/3
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
9.0ms
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
4.0ms
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- y z))
163.0ms
(cbrt (- y z))
133.0ms
(cbrt (* (cbrt (- y z)) (cbrt (- y z))))
162.0ms
(+ x (* (/ (* (* (cbrt (* (cbrt (- y z)) (cbrt (- y z)))) (cbrt (cbrt (- y z)))) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (- t x) (cbrt (- a z))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0353944
11034864
25001856

prune345.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.7b

regimes701.0ms

Accuracy

10% (8.2b remaining)

Error of 11.7b against oracle of 3.5b and baseline of 12.6b

bsearch79.0ms

Steps
ItersRangePoint
6
2.01645319072261e+30
2.864590415848179e+31
2.8040339380969858e+31
7
-1.9594404634135636e+187
-1.3995413679850284e+185
-1.0538724122977772e+187

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03625
13625

end0.0ms

sample668.0ms

Algorithm
intervals
Results
247.0ms7714×body80valid
58.0ms478×body640valid
41.0ms286×body1280valid
38.0ms417×body320valid
17.0ms287×body160valid
2.0ms14×body2560valid