Details

Time bar (total: 3.2s)

sample25.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

series120.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ y (- z a))
88.0ms
(fma (/ y (- z a)) (- z t) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune159.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.8b
(/ 1 (/ (- z a) y))
3.6b
(fma (/ 1 (/ (- z a) 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:
21.0ms
(/ (- z a) y)
17.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series204.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (- z a) y)
76.0ms
(/ 1 (/ (- z a) y))
98.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04661074
11946948
25001842

prune323.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) y)
11.1b
(/ (- z t) (/ (- z a) y))

rewrite60.0ms

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:
17.0ms
(/ (- z a) y)
29.0ms
(/ (- z t) (/ (- z a) y))

series139.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- z a) y)
109.0ms
(/ (- z t) (/ (- z a) y))

simplify75.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07121622
127831571
250011570

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- z t) (- z a))
1.6b
(* (/ (- z t) (- z a)) y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
24.0ms
(/ (- z t) (- z a))
47.0ms
(* (/ (- z t) (- z a)) y)

series188.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z t) (- z a))
136.0ms
(* (/ (- z t) (- z a)) y)

simplify104.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0371669
11146628
24660627
35001627

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample602.0ms

Algorithm
intervals
Results
244.0ms8671×body80valid
0.0ms1×body640valid
0.0ms1×body160valid