Details

Time bar (total: 3.9s)

sample26.0ms

Algorithm
intervals
Results
7.0ms230×body80valid
2.0ms12×body1280valid
2.0ms16×body640valid
1.0ms11×body320valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

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: 10.9b

Counts
2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.7b
(fma (/ y (- a t)) (- t z) (+ x y))

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

series117.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
86.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune191.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47855
Fresh011
Picked101
Done000
Total48957

Merged error: 5.9b

Counts
57 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
11.7b
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite22.0ms

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))
12.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series156.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
33.0ms
(* y (/ 1 (- a t)))
86.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify95.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0288510
11143440
24305394
35001391

prune280.0ms

Filtered
108 candidates to 64 candidates (59.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh358
Picked011
Done000
Total10710117

Merged error: 5.9b

Counts
117 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.3b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
8.6b
(* (/ 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))
17.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
14.0ms
(* (/ y (- a t)) (- t z))

series304.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (- a t))
108.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
165.0ms
(* (/ y (- a t)) (- t z))

simplify128.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
08591392
140161146
250011146

prune537.0ms

Filtered
166 candidates to 120 candidates (72.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New15610166
Fresh358
Picked101
Done011
Total16016176

Merged error: 5.8b

Counts
176 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
1.5b
(fma (/ y (- a t)) (- t z) x)
3.3b
(+ (fma (/ y (- a t)) (- t z) x) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
5×add-exp-log associate-/r* add-cbrt-cube add-log-exp
4×distribute-lft-out-- difference-of-squares
3×pow1 expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×associate-/r/ fma-udef
1×cbrt-undiv +-commutative associate-+l+ flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
3 → 67
Calls
3 calls:
6.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- t z) x)
4.0ms
(+ (fma (/ y (- a t)) (- t z) x) y)

series301.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ y (- a t))
187.0ms
(fma (/ y (- a t)) (- t z) x)
84.0ms
(+ (fma (/ y (- a t)) (- t z) x) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0229386
1694365
22256362
35002361

prune239.0ms

Filtered
76 candidates to 60 candidates (78.9%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh11314
Picked011
Done011
Total761692

Merged error: 5.8b

Counts
92 → 16

regimes411.0ms

Accuracy

1.6% (6.1b remaining)

Error of 12.2b against oracle of 6.1b and baseline of 12.3b

bsearch46.0ms

Steps
ItersRangePoint
8
9.908811997834986e+95
1.0671057499864045e+99
1.0563233862884247e+99

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1145

end0.0ms

sample689.0ms

Algorithm
intervals
Results
253.0ms7296×body80valid
60.0ms474×body640valid
44.0ms268×body1280valid
38.0ms414×body320valid
14.0ms233×body160valid
3.0ms16×body2560valid