Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms283×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 2 expressions with local error:

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

prune208.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.5b
(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite43.0ms

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:
13.0ms
(/ (- a t) (- z t))
15.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

series381.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- a t) (- z t))
137.0ms
(/ 1 (/ (- a t) (- z t)))
192.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06201891
127621708
250031537

prune423.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
9×flip3-- flip--
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
101.0ms
(+ (/ y (/ (- a t) (- z t))) x)
13.0ms
(/ (- a t) (- z t))
19.0ms
(/ y (/ (- a t) (- z t)))

series418.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(+ (/ y (/ (- a t) (- z t))) x)
53.0ms
(/ (- a t) (- z t))
152.0ms
(/ y (/ (- a t) (- z t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07111921
130851862
250011858

prune851.0ms

Filtered
319 candidates to 224 candidates (70.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.5b
(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite46.0ms

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:
16.0ms
(/ (- a t) (- z t))
16.0ms
(/ 1 (/ (- a t) (- z t)))
0.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

series385.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- a t) (- z t))
136.0ms
(/ 1 (/ (- a t) (- z t)))
190.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06201891
127621708
250021537

prune408.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample563.0ms

Algorithm
intervals
Results
280.0ms8721×body80valid
0.0ms1×body160valid
0.0ms1×body640valid