Details

Time bar (total: 6.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify70.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.0b
(fma (/ y (- z a)) (- z t) x)

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 (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series114.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
84.0ms
(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

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.4b
(/ 1 (/ (- z a) y))
3.0b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite22.0ms

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:
6.0ms
(/ (- z a) y)
8.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series196.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- z a) y)
74.0ms
(/ 1 (/ (- z a) y))
93.0ms
(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

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
12.5b
(/ (- z t) (/ (- z a) y))

rewrite86.0ms

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:
7.0ms
(/ (- z a) y)
42.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
12.0ms
(/ (- z t) (/ (- z a) y))

series226.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- z a) y)
93.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
104.0ms
(/ (- z t) (/ (- z a) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07931747
130171690
250011690

prune748.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
4.5b
(/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z a)) y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1053×times-frac
507×add-sqr-sqrt *-un-lft-identity
354×cbrt-div
335×add-cube-cbrt
285×cbrt-prod
233×associate-/r/
177×flip3-- flip--
116×frac-times
86×distribute-lft-out-- difference-of-squares
58×associate-*r/ associate-*l/
48×div-inv
28×associate-/r*
25×add-exp-log
18×add-cbrt-cube
17×associate-/l*
13×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-sub prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 599
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
31.0ms
(/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z a)) y))

series591.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- z a))
162.0ms
(cbrt (- z a))
163.0ms
(cbrt (- z a))
112.0ms
(/ (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z a)) y))

simplify155.0ms

Algorithm
egg-herbie
Counts
611 → 611
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0290213152
1500213067

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample531.0ms

Algorithm
intervals
Results
278.0ms8773×body80valid
0.0ms1×body160valid