Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
7.0ms239×body80valid
2.0ms16×body640valid
1.0ms15×body320valid
1.0ms6×body1280valid
1.0ms13×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.8b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
25.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series129.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y x) (- a t))
79.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune217.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- y x) (/ 1 (- a t)))
14.8b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ 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 → 105
Calls
3 calls:
13.0ms
(/ 1 (- a t))
42.0ms
(* (- y x) (/ 1 (- a t)))
0.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series159.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- a t))
46.0ms
(* (- y x) (/ 1 (- a t)))
81.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351602
11495525
25001481

prune283.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
4.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.1b
(* (/ (- y x) (- a t)) (- z t))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
22.0ms
(/ (- y x) (- a t))
27.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
60.0ms
(* (/ (- y x) (- a t)) (- z t))

series374.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- y x) (- a t))
133.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
192.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06841508
125811283
250031263

prune480.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ 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 → 126
Calls
3 calls:
22.0ms
(/ (- z t) (- a t))
56.0ms
(* (- y x) (/ (- z t) (- a t)))
23.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series298.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z t) (- a t))
108.0ms
(* (- y x) (/ (- z t) (- a t)))
144.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0491904
12052854
25002852

prune344.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.9b

regimes276.0ms

Accuracy

-0.2% (8.2b remaining)

Error of 12.0b against oracle of 3.8b and baseline of 12.0b

bsearch71.0ms

Steps
ItersRangePoint
7
-4.4016160055267106e-169
-1.6697396132603647e-170
-9.925100312643911e-170
6
-5.072252383758936e-108
-9.93979222797904e-109
-1.5037435798431229e-108

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

sample744.0ms

Algorithm
intervals
Results
238.0ms7759×body80valid
50.0ms480×body640valid
38.0ms429×body320valid
37.0ms277×body1280valid
15.0ms283×body160valid
2.0ms15×body2560valid