Details

Time bar (total: 5.7s)

sample37.0ms

Algorithm
intervals
Results
17.0ms272×body80valid
3.0ms11×body640valid
2.0ms8×body1280valid
2.0ms9×body320valid
0.0ms4×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
11.4b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:
12.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series129.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y x) (- a t))
80.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune194.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
1.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.8b
(* (/ (- y x) (- a t)) (- z t))

rewrite69.0ms

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:
12.0ms
(/ (- y x) (- a t))
16.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
33.0ms
(* (/ (- y x) (- a t)) (- z t))

series368.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- y x) (- a t))
131.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
189.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify73.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06841508
125811283
250031263

prune433.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.2b
(+ (* (- y x) (/ (- z t) (- a t))) x)
2.6b
(* (- y x) (/ (- z t) (- a t)))

rewrite58.0ms

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:
11.0ms
(/ (- z t) (- a t))
11.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
31.0ms
(* (- y x) (/ (- z t) (- a t)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- z t) (- a t))
142.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
114.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0491904
12052854
25003852

prune335.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))) x)
3.5b
(cbrt (/ (- z t) (- a t)))
3.5b
(cbrt (/ (- z t) (- a t)))
3.5b
(cbrt (/ (- z t) (- a t)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 140
Calls
4 calls:
185.0ms
(+ (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))) x)
9.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
163.0ms
(+ (* (* (- y x) (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))) (cbrt (/ (- z t) (- a t)))) x)
326.0ms
(cbrt (/ (- z t) (- a t)))
306.0ms
(cbrt (/ (- z t) (- a t)))
306.0ms
(cbrt (/ (- z t) (- a t)))

simplify144.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
04071726
110411607
243261566
350011561

prune510.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.7b

regimes239.0ms

Accuracy

17.9% (6.5b remaining)

Error of 10.1b against oracle of 3.6b and baseline of 11.5b

bsearch132.0ms

Steps
ItersRangePoint
10
4.056367844604504e-121
1.7436618707286996e-111
6.945821551366083e-117
11
-2.5497464747378557e-199
-9.51833570017991e-221
-2.155810418505213e-207

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

sample1.1s

Algorithm
intervals
Results
478.0ms7729×body80valid
113.0ms479×body640valid
91.0ms293×body1280valid
69.0ms384×body320valid
29.0ms251×body160valid
3.0ms8×body2560valid