Details

Time bar (total: 4.3s)

sample27.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
2.0ms15×body640valid
1.0ms12×body320valid
1.0ms6×body1280valid
0.0ms5×body160valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
12.8b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite16.0ms

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:
13.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y x) (- a t))
91.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune226.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
2.8b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.5b
(* (/ (- y x) (- a t)) (- z t))

rewrite76.0ms

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:
13.0ms
(/ (- y x) (- a t))
15.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
40.0ms
(* (/ (- y x) (- a t)) (- z t))

series649.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- y x) (- a t))
147.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
445.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify76.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06841508
125811283
250031263

prune473.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (- y x) (/ (- z t) (- a t)))
1.8b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite68.0ms

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:
13.0ms
(/ (- z t) (- a t))
37.0ms
(* (- y x) (/ (- z t) (- a t)))
12.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series345.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- z t) (- a t))
124.0ms
(* (- y x) (/ (- z t) (- a t)))
165.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0491904
12052854
25002852

prune371.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(fma (- y x) (/ (- z t) (- a t)) x)

rewrite16.0ms

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:
13.0ms
(/ (- z t) (- a t))
0.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- z t) (- a t))
109.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune183.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.6b

regimes322.0ms

Accuracy

-7.5% (8.6b remaining)

Error of 12.2b against oracle of 3.6b and baseline of 11.6b

bsearch113.0ms

Steps
ItersRangePoint
9
1.5537970559902925e+283
2.1249303838110195e+289
5.342519706196632e+284
9
2.8791733718675346e+241
2.3351897425942636e+246
1.8634401694288545e+246

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822
12822

end0.0ms

sample703.0ms

Algorithm
intervals
Results
249.0ms7794×body80valid
56.0ms457×body640valid
51.0ms290×body1280valid
35.0ms402×body320valid
16.0ms275×body160valid
5.0ms27×body2560valid