Details

Time bar (total: 6.3s)

sample36.0ms

Algorithm
intervals
Results
16.0ms247×body80valid
3.0ms11×body1280valid
2.0ms10×body640valid
2.0ms10×body320valid
0.0ms2×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
9.8b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
82.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune191.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
1.3b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
11.2b
(* (/ y (- a t)) (- t z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log frac-add add-cbrt-cube
8×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times flip3-+ associate-*r/ flip-+
5×pow1 associate-*r* associate-/r*
4×sub-neg associate-/r/
3×expm1-log1p-u associate-*l/ sum-log log1p-expm1-u associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative associate-+r+ fma-def frac-2neg pow-prod-down clear-num *-commutative
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ y (- a t))
17.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
28.0ms
(* (/ y (- a t)) (- t z))

series290.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ y (- a t))
103.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
157.0ms
(* (/ y (- a t)) (- t z))

simplify105.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08591392
140161146
250011146

prune511.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
5.9b
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
73×add-exp-log
72×prod-diff
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×associate-+l+
39×add-cbrt-cube
37×prod-exp cbrt-unprod
31×frac-times
29×associate-*r/
22×frac-add
18×flip3-- flip--
17×cbrt-undiv div-exp
13×associate-*l*
12×cbrt-div flip3-+ flip-+
11×associate-*l/
9×pow1 add-log-exp
8×sub-neg associate-/r/
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u
3×pow-prod-down sum-log
2×pow1/3
1×+-commutative associate-+r+ fma-def times-frac associate-*r* *-commutative div-inv
Counts
4 → 219
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
85.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
83.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

series756.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt y)
183.0ms
(cbrt y)
186.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
162.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016595356
150023554

prune884.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
7.9b
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
0.0ms
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

series1.2s

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
184.0ms
(cbrt y)
183.0ms
(cbrt y)
683.0ms
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

simplify86.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0246477
1687426
23103388
35002360

prune265.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

regimes288.0ms

Accuracy

0% (4.6b remaining)

Error of 10.8b against oracle of 6.2b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02423
12423

end0.0ms

sample1.1s

Algorithm
intervals
Results
485.0ms7379×body80valid
113.0ms462×body640valid
79.0ms256×body1280valid
71.0ms390×body320valid
31.0ms254×body160valid
5.0ms13×body2560valid