Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.4b
(fma (/ y (- z a)) (- z t) x)

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

series115.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ y (- z a))
80.0ms
(fma (/ y (- z a)) (- z t) x)

simplify121.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (116.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.6b
(/ 1 (/ (- z a) y))
3.4b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite26.0ms

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

series192.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- z a) y)
74.0ms
(/ 1 (/ (- z a) y))
91.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04661074
11946948
25001842

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
12.3b
(/ (- z t) (/ (- z a) y))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-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*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
9.0ms
(/ (- z a) y)
92.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
16.0ms
(/ (- z t) (/ (- z a) y))

series221.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- z a) y)
92.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
98.0ms
(/ (- z t) (/ (- z a) y))

simplify79.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07931747
130171690
250011690

prune761.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(fma (/ (- z t) (- z a)) y 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) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series121.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- z a))
74.0ms
(fma (/ (- z t) (- z a)) y x)

simplify57.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260433
1700410
22404410
35001410

prune174.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

84.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02317
12317

end0.0ms

sample532.0ms

Algorithm
intervals
Results
277.0ms8745×body80valid
0.0ms2×body1280valid
0.0ms3×body160valid
0.0ms1×body320valid