Details

Time bar (total: 6.0s)

sample26.0ms

Algorithm
intervals
Results
7.0ms227×body80valid
2.0ms17×body640valid
2.0ms12×body1280valid
1.0ms13×body320valid
0.0ms7×body160valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (17.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
13.2b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite9.0ms

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:
6.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series116.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
87.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune197.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.3b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
10.3b
(* (/ y (- a t)) (- t z))

rewrite44.0ms

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:
6.0ms
(/ y (- a t))
16.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
14.0ms
(* (/ y (- a t)) (- t z))

series293.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ y (- a t))
103.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
161.0ms
(* (/ y (- a t)) (- t z))

simplify113.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
08591392
140161146
250011146

prune524.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
9.4b
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

rewrite86.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
32.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
39.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

series721.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
184.0ms
(cbrt y)
173.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
187.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016595356
150023554

prune869.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
11.5b
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

rewrite5.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(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:
183.0ms
(cbrt y)
220.0ms
(cbrt y)
175.0ms
(cbrt y)
634.0ms
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0246477
1687426
23103388
35002360

prune266.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.5b

regimes429.0ms

Accuracy

8.9% (4.3b remaining)

Error of 10.6b against oracle of 6.3b and baseline of 11.0b

bsearch26.0ms

Steps
ItersRangePoint
4
-1.6770582427738665e+216
-1.145965995227566e+216
-1.5099246419407536e+216

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02723
12723

end0.0ms

sample673.0ms

Algorithm
intervals
Results
240.0ms7298×body80valid
59.0ms442×body640valid
39.0ms263×body1280valid
37.0ms415×body320valid
19.0ms266×body160valid
6.0ms17×body2560valid