Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
8.0ms229×body80valid
2.0ms16×body640valid
1.0ms9×body1280valid
1.0ms10×body160valid
1.0ms6×body320valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (15.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
10.8b
(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

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))

series123.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
89.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35001257

prune205.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.6b
(/ 1 (/ (- a t) y))
10.8b
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite25.0ms

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:
8.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series204.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- a t) y)
80.0ms
(/ 1 (/ (- a t) y))
95.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04661086
11950958
25001852

prune407.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.4b
(/ (/ 1 (- a t)) (/ 1 y))
10.8b
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
385×add-sqr-sqrt *-un-lft-identity
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
24×associate-/l*
18×associate-/r*
17×add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
3 → 394
Calls
3 calls:
6.0ms
(/ 1 (- a t))
19.0ms
(/ (/ 1 (- a t)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

series217.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- a t))
75.0ms
(/ (/ 1 (- a t)) (/ 1 y))
96.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
403 → 403
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
016284228
150023606

prune845.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
3.2b
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
10.0b
(/ (- t z) (/ (- a t) y))

rewrite143.0ms

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:
8.0ms
(/ (- a t) y)
97.0ms
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
16.0ms
(/ (- t z) (/ (- a t) y))

series351.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- a t) y)
216.0ms
(+ (/ (- t z) (/ (- a t) y)) (+ x y))
107.0ms
(/ (- t z) (/ (- a t) y))

simplify105.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08921815
135651754
250011752

prune933.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

regimes258.0ms

Accuracy

41.2% (4.5b remaining)

Error of 7.8b against oracle of 3.2b and baseline of 11.0b

bsearch111.0ms

Steps
ItersRangePoint
7
6.018392667914333e+156
2.0112922712619867e+158
8.903535236686547e+157
9
-7.707198250621901e+155
-4.58245578041268e+148
-1.2092524272160993e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample684.0ms

Algorithm
intervals
Results
262.0ms7336×body80valid
58.0ms460×body640valid
45.0ms289×body1280valid
35.0ms371×body320valid
19.0ms260×body160valid
3.0ms15×body2560valid