Details

Time bar (total: 5.8s)

sample39.0ms

Algorithm
intervals
Results
19.0ms391×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(* (- t 1.0) a)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff fma-udef
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0ms
(fma b (- (+ y t) 2.0) x)
11.0ms
(* (- t 1.0) a)

series324.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
78.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
45.0ms
(fma b (- (+ y t) 2.0) x)
34.0ms
(* (- t 1.0) a)

simplify103.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0260488
1831429
24460414
35001413

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.5b
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.5b
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.5b
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
15.0ms
(* (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
2.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))

series1.5s

Counts
4 → 12
Calls
4 calls:
749.0ms
(* (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
253.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
262.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
254.0ms
(cbrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04041906
112761794
250021657

prune484.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b
(fma b (- (+ y t) 2.0) x)
3.6b
(* (- (* t t) (* 1.0 1.0)) a)
9.2b
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
30×prod-diff
29×add-sqr-sqrt
25×add-cube-cbrt
16×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/
6×pow1 add-log-exp
5×distribute-lft-out
4×expm1-log1p-u flip3-+ associate-*l* associate-*l/ associate-/r* flip-+ log1p-expm1-u div-inv
3×flip3-- fma-neg associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef associate-/l/ difference-of-squares
1×sub-neg frac-2neg diff-log pow-prod-down associate--l+ clear-num *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 112
Calls
4 calls:
14.0ms
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0ms
(fma b (- (+ y t) 2.0) x)
11.0ms
(* (- (* t t) (* 1.0 1.0)) a)
10.0ms
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series267.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
45.0ms
(fma b (- (+ y t) 2.0) x)
45.0ms
(* (- (* t t) (* 1.0 1.0)) a)
61.0ms
(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05802019
125061495
250021489

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(* (- t 1.0) a)
0.1b
(pow (fma b (- (+ y t) 2.0) x) 3)
41.4b
(cbrt (pow (fma b (- (+ y t) 2.0) x) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r*
2×cube-mult unpow3 associate-*l/ sqr-pow
1×pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp prod-exp *-commutative flip-- rem-cbrt-cube cbrt-unprod fma-udef distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 82
Calls
4 calls:
0.0ms
(fma b (- (+ y t) 2.0) x)
11.0ms
(* (- t 1.0) a)
1.0ms
(pow (fma b (- (+ y t) 2.0) x) 3)
2.0ms
(cbrt (pow (fma b (- (+ y t) 2.0) x) 3))

series540.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma b (- (+ y t) 2.0) x)
28.0ms
(* (- t 1.0) a)
267.0ms
(pow (fma b (- (+ y t) 2.0) x) 3)
198.0ms
(cbrt (pow (fma b (- (+ y t) 2.0) x) 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0278477
11105439
25001429

prune269.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample1.1s

Algorithm
intervals
Results
618.0ms12505×body80valid
0.0ms1×body320valid