Details

Time bar (total: 4.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms277×body80valid
0.0ms1×body640valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
0.5b
(fma y (/ (- z t) (- a t)) x)

rewrite25.0ms

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:
22.0ms
(/ (- z t) (- a t))
0.0ms
(fma y (/ (- z t) (- a t)) x)

series131.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z t) (- a t))
81.0ms
(fma y (/ (- z t) (- a t)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune174.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ t (- a t))
0.5b
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
10.0ms
(/ z (- a t))
104.0ms
(- (/ z (- a t)) (/ t (- a t)))
10.0ms
(/ t (- a t))
0.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series282.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ z (- a t))
68.0ms
(- (/ z (- a t)) (/ t (- a t)))
47.0ms
(/ t (- a t))
134.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify170.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0123415689
1329911705
2500211613

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (- a t) (- z t)))
0.5b
(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
23.0ms
(/ (- a t) (- z t))
28.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

series365.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a t) (- z t))
132.0ms
(/ 1 (/ (- a t) (- z t)))
184.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06201891
127621708
250031537

prune363.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.5b
(/ y (/ (- a t) (- z t)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
22.0ms
(/ (- a t) (- z t))
23.0ms
(/ y (/ (- a t) (- z t)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- a t) (- z t))
157.0ms
(/ y (/ (- a t) (- z t)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06421801
128861748
250011745

prune458.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample596.0ms

Algorithm
intervals
Results
247.0ms8742×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid