Details

Time bar (total: 5.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms242×body80valid
2.0ms13×body640valid
1.0ms10×body320valid
1.0ms6×body1280valid
1.0ms8×body160valid
0.0ms1×body2560valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
10.1b
(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))
1.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ y (- a t))
73.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune160.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New46955
Fresh011
Picked101
Done000
Total471057

Merged error: 5.2b

Counts
57 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.3b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
11.4b
(* (/ y (- a t)) (- t z))

rewrite40.0ms

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))
15.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
13.0ms
(* (/ y (- a t)) (- t z))

series255.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ y (- a t))
90.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
140.0ms
(* (/ y (- a t)) (- t z))

simplify96.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08591392
140161146
250011146

prune370.0ms

Filtered
166 candidates to 119 candidates (71.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1606166
Fresh369
Picked011
Done000
Total16313176

Merged error: 5.1b

Counts
176 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
7.9b
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

rewrite82.0ms

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)
30.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
38.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

series886.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
381.0ms
(cbrt y)
167.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
147.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016595356
150023554

prune764.0ms

Filtered
231 candidates to 155 candidates (67.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2283231
Fresh3811
Picked011
Done011
Total23113244

Merged error: 5.1b

Counts
244 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
8.7b
(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))

series1.1s

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
175.0ms
(cbrt y)
170.0ms
(cbrt y)
595.0ms
(fma (/ (* (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
61 → 61
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0246477
1687426
23103388
35002360

prune213.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh01010
Picked101
Done022
Total611374

Merged error: 5.1b

Counts
74 → 13

regimes342.0ms

Accuracy

34.2% (2.9b remaining)

Error of 9.1b against oracle of 6.2b and baseline of 10.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04342
14342

end0.0ms

sample741.0ms

Algorithm
intervals
Results
297.0ms7387×body80valid
67.0ms468×body640valid
51.0ms252×body1280valid
41.0ms374×body320valid
18.0ms240×body160valid
4.0ms16×body2560valid