Details

Time bar (total: 4.9s)

sample35.0ms

Algorithm
intervals
Results
14.0ms227×body80valid
3.0ms14×body640valid
2.0ms14×body320valid
2.0ms7×body1280valid
1.0ms13×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
12.7b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- a t))
75.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune194.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.5b
(/ 1 (/ (- a t) y))
12.7b
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×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×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
9.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series200.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- a t) y)
72.0ms
(/ 1 (/ (- a t) y))
94.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04661086
11950958
25001852

prune372.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.8b
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
10.2b
(/ (- t z) (/ (- a t) y))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
309×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
8×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub sum-log log1p-expm1-u distribute-lft-out
2×flip3-- frac-2neg flip3-+ frac-add clear-num associate-/r/ flip-- flip-+
1×+-commutative associate-+l- associate-+r+
Counts
3 → 299
Calls
3 calls:
9.0ms
(/ (- a t) y)
101.0ms
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
16.0ms
(/ (- t z) (/ (- a t) y))

series350.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- a t) y)
218.0ms
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
102.0ms
(/ (- t z) (/ (- a t) y))

simplify90.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08921815
135651754
250011752

prune917.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- a t))
5.0b
(fma (/ (- t z) (- a t)) y (+ x y))

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

series232.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- t z) (- a t))
185.0ms
(fma (/ (- t z) (- a t)) y (+ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0257444
1694419
22378417
35001417

prune202.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.0b

regimes337.0ms

Accuracy

33.5% (5.6b remaining)

Error of 8.9b against oracle of 3.3b and baseline of 11.7b

bsearch118.0ms

Steps
ItersRangePoint
11
1.0413368315889474e+72
1.1030384773189263e+93
2.5348533825902453e+87
8
-1.1059149666915537e+130
-3.2664701214032027e+125
-4.4429033246165504e+125

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample1.3s

Algorithm
intervals
Results
464.0ms7297×body80valid
295.0ms413×body320valid
111.0ms468×body640valid
69.0ms229×body1280valid
33.0ms263×body160valid
6.0ms17×body2560valid