Details

Time bar (total: 3.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune11.0ms

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: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
1.9b
(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

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)) (- z t) x)

series212.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
182.0ms
(fma (/ y (- a t)) (- z t) x)

simplify107.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune145.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50555
Fresh011
Picked101
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ y (- a t)) (- z t)) x)
0.0b
(/ y (- a t))
10.7b
(* (/ y (- a t)) (- z t))

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 add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
14.0ms
(+ (* (/ y (- a t)) (- z t)) x)
6.0ms
(/ y (- a t))
14.0ms
(* (/ y (- a t)) (- z t))

series403.0ms

Counts
3 → 9
Calls
3 calls:
218.0ms
(+ (* (/ y (- a t)) (- z t)) x)
29.0ms
(/ y (- a t))
155.0ms
(* (/ y (- a t)) (- z t))

simplify72.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05661124
12255891
25001883

prune345.0ms

Filtered
154 candidates to 107 candidates (69.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1504154
Fresh325
Picked011
Done000
Total1537160

Merged error: 0b

Counts
160 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
11.0ms
(+ (* y (/ (- z t) (- a t))) x)
9.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (* y (/ (- z t) (- a t))) x)
57.0ms
(/ (- z t) (- a t))
71.0ms
(* y (/ (- z t) (- a t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0435778
11689734
25002734

prune282.0ms

Filtered
129 candidates to 90 candidates (69.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh145
Picked011
Done101
Total1306136

Merged error: 0b

Counts
136 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
1.9b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1 (- a t))
11.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series254.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- a t))
34.0ms
(* y (/ 1 (- a t)))
185.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0284497
11119429
24119381
35001381

prune197.0ms

Filtered
108 candidates to 67 candidates (62.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done011
Total1086114

Merged error: 0b

Counts
114 → 6

regimes212.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample836.0ms

Algorithm
intervals
Results
550.0ms8699×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid