Details

Time bar (total: 6.1s)

sample29.0ms

Algorithm
intervals
Results
7.0ms251×body80valid
3.0ms11×body160valid
1.0ms13×body640valid
1.0ms8×body1280valid
1.0ms10×body320valid
0.0ms1×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: 13.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.2b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.4b
(* (- y z) (/ (- t x) (- a z)))

rewrite89.0ms

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:
21.0ms
(/ (- t x) (- a z))
7.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
56.0ms
(* (- y z) (/ (- t x) (- a z)))

series311.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- t x) (- a z))
139.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
122.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0473869
12012820
25001820

prune308.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
1.2b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.6b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
125.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- a z))
136.0ms
(cbrt (- a z))
280.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
144.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07441831
132871663
250011576

prune439.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.6b
(cbrt (cbrt (- a z)))
0.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.1b
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
38×cbrt-div
27×add-sqr-sqrt
22×add-cbrt-cube
21×cbrt-prod
17×*-un-lft-identity associate-*l*
16×times-frac associate-*r* associate-/r/
15×prod-exp cbrt-unprod
14×flip3-- flip--
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×frac-times
6×pow1 add-log-exp unswap-sqr
5×associate-*r/ associate-*l/
3×distribute-lft-out-- difference-of-squares
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 113
Calls
4 calls:
4.0ms
(cbrt (- t x))
4.0ms
(cbrt (cbrt (- a z)))
133.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series710.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- t x))
137.0ms
(cbrt (cbrt (- a z)))
288.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
145.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09382518
135372176
250012136

prune553.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
8.1b
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite21.0ms

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:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
8.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (- y z))
145.0ms
(cbrt (- y z))
138.0ms
(cbrt (- y z))
147.0ms
(+ x (* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0272944
1861858
25001849

prune372.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.1b

regimes507.0ms

Accuracy

56.8% (3.5b remaining)

Error of 7.7b against oracle of 4.2b and baseline of 12.3b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05896
15896

end0.0ms

sample753.0ms

Algorithm
intervals
Results
229.0ms7789×body80valid
56.0ms506×body640valid
37.0ms296×body1280valid
30.0ms394×body320valid
13.0ms257×body160valid
5.0ms29×body2560valid