Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify70.0ms

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))
3.9b
(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)

series106.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- z a))
79.0ms
(fma (/ y (- z a)) (- z t) x)

simplify107.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune151.0ms

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
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
3.9b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
5.0ms
(/ 1 (- z a))
10.0ms
(* y (/ 1 (- z a)))
1.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series140.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- z a))
30.0ms
(* y (/ 1 (- z a)))
76.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
3.9b
(fma (* y (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) (- z t) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
1.0ms
(fma (* y (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) (- z t) x)

series521.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- z a))
148.0ms
(cbrt (- z a))
144.0ms
(cbrt (- z a))
77.0ms
(fma (* y (/ (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a)))) (- z t) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0193515
1453470
21546450
35001429

prune299.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.9b
(/ (* y (- z t)) (- z a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
7.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) (- z a))

series101.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) (- z a))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0350543
11606380
25001380

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample513.0ms

Algorithm
intervals
Results
264.0ms8704×body80valid
0.0ms2×body640valid
0.0ms1×body160valid