Details

Time bar (total: 6.1s)

sample28.0ms

Algorithm
intervals
Results
8.0ms242×body80valid
2.0ms16×body640valid
1.0ms13×body320valid
1.0ms8×body1280valid
1.0ms17×body160valid
0.0ms2×body2560valid

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.6b
(* (- y z) (/ (- t x) (- a z)))
5.9b
(+ x (* (- y z) (/ (- t x) (- a z))))

rewrite50.0ms

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:
10.0ms
(/ (- t x) (- a z))
31.0ms
(* (- y z) (/ (- t x) (- a z)))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

series339.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- t x) (- a z))
130.0ms
(* (- y z) (/ (- t x) (- a z)))
155.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0473869
12012820
25001820

prune357.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
0.6b
(cbrt (- t x))
10.5b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite11.0ms

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:
2.0ms
(cbrt (- t x))
2.0ms
(cbrt (- t x))
2.0ms
(cbrt (- t x))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series608.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- t x))
148.0ms
(cbrt (- t x))
152.0ms
(cbrt (- t x))
155.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0252689
1775601
25002588

prune331.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.2b

localize18.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (/ (- t x) (- a z)))
6.1b
(cbrt (/ (- t x) (- a z)))
6.1b
(cbrt (/ (- t x) (- a z)))
10.5b
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (cbrt (/ (- t x) (- a z)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 131
Calls
4 calls:
5.0ms
(cbrt (/ (- t x) (- a z)))
5.0ms
(cbrt (/ (- t x) (- a z)))
5.0ms
(cbrt (/ (- t x) (- a z)))
3.0ms
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (cbrt (/ (- t x) (- a z)))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (/ (- t x) (- a z)))
156.0ms
(cbrt (/ (- t x) (- a z)))
153.0ms
(cbrt (/ (- t x) (- a z)))
157.0ms
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (cbrt (/ (- t x) (- a z)))))

simplify125.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
03891616
19691513
240551493
350021469

prune704.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.2b

localize28.0ms

Local error

Found 4 expressions with local error:

1.1b
(cbrt (/ (- t x) (cbrt (- a z))))
6.1b
(cbrt (/ (- t x) (- a z)))
6.1b
(cbrt (/ (- t x) (- a z)))
9.8b
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (* (cbrt (/ 1 (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (- a z)))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
133×cbrt-prod
111×add-sqr-sqrt *-un-lft-identity
90×times-frac
45×add-cube-cbrt
33×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
5×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 146
Calls
4 calls:
7.0ms
(cbrt (/ (- t x) (cbrt (- a z))))
6.0ms
(cbrt (/ (- t x) (- a z)))
5.0ms
(cbrt (/ (- t x) (- a z)))
3.0ms
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (* (cbrt (/ 1 (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (- a z)))))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (/ (- t x) (cbrt (- a z))))
148.0ms
(cbrt (/ (- t x) (- a z)))
144.0ms
(cbrt (/ (- t x) (- a z)))
154.0ms
(+ x (* (* (- y z) (* (cbrt (/ (- t x) (- a z))) (cbrt (/ (- t x) (- a z))))) (* (cbrt (/ 1 (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- t x) (cbrt (- a z)))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
06492068
116081985
250011963

prune733.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 4.2b

regimes491.0ms

Accuracy

60.3% (3.4b remaining)

Error of 6.8b against oracle of 3.4b and baseline of 11.9b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04137
14137

end0.0ms

sample697.0ms

Algorithm
intervals
Results
264.0ms7863×body80valid
58.0ms471×body640valid
40.0ms268×body1280valid
34.0ms379×body320valid
17.0ms274×body160valid
4.0ms19×body2560valid