Details

Time bar (total: 5.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.6b
(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

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

series247.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ y (- a t))
213.0ms
(fma (/ y (- a t)) (- z t) x)

simplify110.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.5b
(/ 1 (/ (- a t) y))
3.6b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite45.0ms

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:
18.0ms
(/ (- a t) y)
20.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series310.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (- a t) y)
84.0ms
(/ 1 (/ (- a t) y))
192.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04621073
11927947
25001836

prune326.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) y)
11.3b
(/ (- z t) (/ (- a t) y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num flip-- log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
21.0ms
(/ (- a t) y)
31.0ms
(/ (- z t) (/ (- a t) y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- a t) y)
109.0ms
(/ (- z t) (/ (- a t) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07101622
127841571
250011570

prune454.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
3.2b
(/ (cbrt (- z t)) (/ (cbrt (- a t)) y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
440×times-frac
318×add-sqr-sqrt *-un-lft-identity
295×cbrt-prod
200×add-cube-cbrt
59×distribute-lft-out-- difference-of-squares
28×associate-/r*
10×div-inv
9×add-exp-log
8×cbrt-div associate-/l*
6×add-cbrt-cube
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/l/
1×frac-2neg clear-num associate-/r/
Counts
4 → 330
Calls
4 calls:
4.0ms
(cbrt (- a t))
4.0ms
(cbrt (- a t))
4.0ms
(cbrt (- a t))
35.0ms
(/ (cbrt (- z t)) (/ (cbrt (- a t)) y))

series1.6s

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (- a t))
168.0ms
(cbrt (- a t))
168.0ms
(cbrt (- a t))
1.1s
(/ (cbrt (- z t)) (/ (cbrt (- a t)) y))

simplify118.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010374567
140084477
250014305

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample619.0ms

Algorithm
intervals
Results
259.0ms8736×body80valid
0.0ms2×body160valid