Details

Time bar (total: 3.8s)

sample27.0ms

Algorithm
intervals
Results
15.0ms275×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

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))
2.3b
(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)

series110.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (- z a))
77.0ms
(fma (/ y (- z a)) (- z t) x)

simplify105.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.5b
(/ 1 (/ (- z a) y))
2.3b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

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

series185.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- z a) y)
71.0ms
(/ 1 (/ (- z a) y))
87.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04661074
11946948
25001842

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) y)
9.3b
(/ (- z t) (/ (- z a) y))

rewrite37.0ms

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

series120.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- z a) y)
94.0ms
(/ (- z t) (/ (- z a) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07121622
127831571
250011570

prune419.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.2b
(/ (/ (- z t) (- z a)) (/ 1 y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
1066×times-frac
696×add-sqr-sqrt *-un-lft-identity
392×add-cube-cbrt
152×distribute-lft-out-- difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
26×add-exp-log
18×associate-/r*
17×div-exp
16×flip3-- add-cbrt-cube flip--
9×cbrt-undiv
3×div-sub associate-/l/
2×pow1 expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
Counts
2 → 528
Calls
2 calls:
12.0ms
(/ (- z t) (- z a))
31.0ms
(/ (/ (- z t) (- z a)) (/ 1 y))

series146.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- z t) (- z a))
103.0ms
(/ (/ (- z t) (- z a)) (/ 1 y))

simplify104.0ms

Algorithm
egg-herbie
Counts
534 → 534
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020956971
150016479

prune945.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample750.0ms

Algorithm
intervals
Results
496.0ms8692×body80valid
0.0ms1×body160valid