Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms282×body80valid

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.4b
(fma y (/ (- z t) (- a t)) x)

rewrite14.0ms

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:
11.0ms
(/ (- z t) (- a t))
0.0ms
(fma y (/ (- z t) (- a t)) x)

series124.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
74.0ms
(fma y (/ (- z t) (- a t)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune182.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
1.4b
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite142.0ms

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:
69.0ms
(- (/ z (- a t)) (/ t (- a t)))
9.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
0.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series266.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (/ z (- a t)) (/ t (- a t)))
33.0ms
(/ z (- a t))
44.0ms
(/ t (- a t))
122.0ms
(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify182.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0123415689
1329911705
2500211613

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(/ (- a t) t)
0.9b
(/ 1 (/ (- a t) t))
1.4b
(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
120×add-sqr-sqrt *-un-lft-identity
80×add-cube-cbrt
27×associate-/r*
20×distribute-lft-out-- difference-of-squares
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
9×div-exp
7×div-inv
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
4 → 191
Calls
4 calls:
5.0ms
(/ z (- a t))
8.0ms
(/ (- a t) t)
12.0ms
(/ 1 (/ (- a t) t))
0.0ms
(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

series222.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ z (- a t))
25.0ms
(/ (- a t) t)
48.0ms
(/ 1 (/ (- a t) t))
122.0ms
(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05571290
124441153
250021047

prune430.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.4b
(fma y (/ (- z t) (- a 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
(/ (- z t) (- a t))
0.0ms
(fma y (/ (- z t) (- a t)) x)

series301.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z t) (- a t))
251.0ms
(fma y (/ (- z t) (- a t)) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune170.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.9b

regimes194.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample504.0ms

Algorithm
intervals
Results
255.0ms8705×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid