Details

Time bar (total: 3.9s)

sample26.0ms

Algorithm
intervals
Results
7.0ms218×body80valid
2.0ms17×body640valid
2.0ms17×body320valid
1.0ms10×body1280valid
1.0ms14×body160valid
0.0ms2×body2560valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
16.1b
(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))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
81.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune185.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.4b
(/ 1 (/ (- a t) y))
16.1b
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
9.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series190.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- a t) y)
73.0ms
(/ 1 (/ (- a t) y))
90.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04661086
11950958
25001852

prune346.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (/ 1 (- a t)) y)
16.1b
(fma (* (/ 1 (- a t)) y) (- t z) (+ x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*l*
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-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative fma-udef inv-pow
Counts
3 → 98
Calls
3 calls:
6.0ms
(/ 1 (- a t))
17.0ms
(* (/ 1 (- a t)) y)
0.0ms
(fma (* (/ 1 (- a t)) y) (- t z) (+ x y))

series198.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- a t))
73.0ms
(* (/ 1 (- a t)) y)
90.0ms
(fma (* (/ 1 (- a t)) y) (- t z) (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0293501
11108433
23417397
35001395

prune277.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(/ (/ 1 (- a t)) (/ 1 y))
16.0b
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
385×add-sqr-sqrt *-un-lft-identity
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
24×associate-/l*
18×associate-/r*
17×add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
3 → 394
Calls
3 calls:
5.0ms
(/ 1 (- a t))
21.0ms
(/ (/ 1 (- a t)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

series211.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- a t))
78.0ms
(/ (/ 1 (- a t)) (/ 1 y))
93.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

simplify86.0ms

Algorithm
egg-herbie
Counts
403 → 403
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016284228
150023606

prune735.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.2b

regimes376.0ms

Accuracy

13.2% (4.9b remaining)

Error of 11.4b against oracle of 6.5b and baseline of 12.1b

bsearch68.0ms

Steps
ItersRangePoint
6
9.532258889053878e+219
5.919803248124498e+220
1.2628511277499446e+220
7
-8.2522539580275235e+127
-4.759549154242407e+125
-6.098989235421839e+126

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0256
1256

end0.0ms

sample672.0ms

Algorithm
intervals
Results
244.0ms7346×body80valid
58.0ms461×body640valid
45.0ms277×body1280valid
43.0ms431×body320valid
16.0ms253×body160valid
2.0ms11×body2560valid