Details

Time bar (total: 6.0s)

sample49.0ms

Algorithm
intervals
Results
23.0ms258×body80valid
4.0ms15×body640valid
3.0ms15×body320valid
2.0ms7×body1280valid
1.0ms2×body2560valid
1.0ms5×body160valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.9b
(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)

series151.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y x) (- a t))
97.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune222.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.4b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
6.5b
(* (/ (- y x) (- a t)) (- z t))

rewrite75.0ms

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))
18.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
36.0ms
(* (/ (- y x) (- a t)) (- z t))

series441.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- y x) (- a t))
161.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
225.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify91.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06841508
125811283
250031263

prune508.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(* (- y x) (/ (- z t) (- a t)))
2.4b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite65.0ms

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))
34.0ms
(* (- y x) (/ (- z t) (- a t)))
12.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series355.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- z t) (- a t))
127.0ms
(* (- y x) (/ (- z t) (- a t)))
171.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0491904
12052854
25002852

prune406.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.2b
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
8.1b
(+ (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
69×add-sqr-sqrt
59×*-un-lft-identity
51×associate-*r*
36×cbrt-prod
27×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
7×prod-exp cbrt-unprod
6×pow1 cbrt-undiv cbrt-div div-exp add-log-exp
5×flip3-- associate-*l* flip--
4×expm1-log1p-u log1p-expm1-u unswap-sqr
3×associate-/r/
2×frac-times pow1/3 associate-*l/ div-inv
1×+-commutative fma-def flip3-+ associate-*r/ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
73.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
38.0ms
(+ (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))) x)

series644.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (- z t))
174.0ms
(cbrt (- z t))
128.0ms
(* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t)))))
171.0ms
(+ (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- a t) (cbrt (- z t))))) x)

simplify113.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07421635
135161507
250011433

prune499.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.0b

regimes332.0ms

Accuracy

13.7% (6.7b remaining)

Error of 10.6b against oracle of 3.8b and baseline of 11.7b

bsearch170.0ms

Steps
ItersRangePoint
9
2.183162487484932e-93
3.7249818277460274e-84
3.1595740263796063e-93
9
-6.968108695265531e-160
-1.6596839258457056e-165
-1.4075801034894206e-160

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04139
14139

end0.0ms

sample1.4s

Algorithm
intervals
Results
728.0ms7734×body80valid
152.0ms482×body640valid
112.0ms314×body1280valid
85.0ms371×body320valid
41.0ms248×body160valid
7.0ms16×body2560valid