Details

Time bar (total: 4.4s)

sample26.0ms

Algorithm
intervals
Results
7.0ms228×body80valid
2.0ms18×body640valid
1.0ms9×body1280valid
1.0ms10×body320valid
0.0ms3×body2560valid
0.0ms7×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
13.2b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite13.0ms

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:
11.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (- a t))
76.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune182.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
13.2b
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite46.0ms

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:
12.0ms
(/ 1 (- a t))
31.0ms
(* y (/ 1 (- a t)))
0.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a t))
27.0ms
(* y (/ 1 (- a t)))
77.0ms
(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0288510
11143440
24305394
35001391

prune279.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.0b
(+ (* (- t z) (/ y (- a t))) (+ x y))
10.4b
(* (- t z) (/ y (- a t)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
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-*l/ flip-+
5×pow1 associate-*l* associate-/r*
4×associate-/r/
3×expm1-log1p-u associate-*r/ 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 → 113
Calls
3 calls:
13.0ms
(/ y (- a t))
29.0ms
(+ (* (- t z) (/ y (- a t))) (+ x y))
44.0ms
(* (- t z) (/ y (- a t)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ y (- a t))
120.0ms
(+ (* (- t z) (/ y (- a t))) (+ x y))
56.0ms
(* (- t z) (/ y (- a t)))

simplify87.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0639842
13106791
25001789

prune394.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) y)
0.9b
(/ 1 (/ (- a t) y))
4.5b
(+ (* (- t z) (/ 1 (/ (- a t) y))) (+ x y))
10.4b
(* (- t z) (/ 1 (/ (- a t) y)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
184×add-sqr-sqrt
172×*-un-lft-identity
118×add-cube-cbrt
62×associate-*r*
36×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
20×add-cbrt-cube
15×div-exp
12×frac-add
10×div-inv
9×add-log-exp
8×associate-/l*
7×pow1 cbrt-undiv flip3-- flip3-+ prod-exp flip-- flip-+
6×frac-times associate-*l/
5×associate-*l* unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×associate-*r/ sum-log un-div-inv cbrt-unprod
2×frac-2neg clear-num associate-/r/ associate-/l/
1×+-commutative associate-+r+ pow-flip fma-def div-sub pow-prod-down *-commutative inv-pow
Counts
4 → 269
Calls
4 calls:
19.0ms
(/ (- a t) y)
16.0ms
(/ 1 (/ (- a t) y))
37.0ms
(+ (* (- t z) (/ 1 (/ (- a t) y))) (+ x y))
64.0ms
(* (- t z) (/ 1 (/ (- a t) y)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (- a t) y)
71.0ms
(/ 1 (/ (- a t) y))
197.0ms
(+ (* (- t z) (/ 1 (/ (- a t) y))) (+ x y))
97.0ms
(* (- t z) (/ 1 (/ (- a t) y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
011012148
150021920

prune757.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.6b

regimes315.0ms

Accuracy

29.5% (5.8b remaining)

Error of 9.1b against oracle of 3.3b and baseline of 11.5b

bsearch104.0ms

Steps
ItersRangePoint
8
2.7387180471746357e-149
4.133308837495724e-146
3.0524186645945463e-148
8
-1.410197653437475e-99
-1.2238404601035444e-103
-8.38117217526452e-100

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample749.0ms

Algorithm
intervals
Results
238.0ms7369×body80valid
54.0ms448×body640valid
38.0ms268×body1280valid
31.0ms363×body320valid
15.0ms254×body160valid
8.0ms22×body2560valid