Details

Time bar (total: 10.6s)

sample155.0ms

Algorithm
intervals
Results
68.0ms858×body80nan
15.0ms174×body80valid
13.0ms30×body640valid
13.0ms16×body1280valid
7.0ms24×body320valid
2.0ms13×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.1b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
5.8b
(log (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×log-prod
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div log-pow
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(* z (log (- 1.0 y)))
0.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series38.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* z (log (- 1.0 y)))
25.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

simplify105.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune562.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.1b
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
8.5b
(* z (pow y 2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
25×prod-exp
20×associate-*r*
19×add-sqr-sqrt
15×add-cbrt-cube
12×div-exp
11×add-cube-cbrt *-un-lft-identity
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×pow1 associate-*l*
5×cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow2 sqr-pow
2×cbrt-undiv *-commutative fma-udef
1×associate-*r/ pow-prod-down div-inv
Counts
4 → 93
Calls
4 calls:
13.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
6.0ms
(* z (pow y 2))

series80.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
23.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
37.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
8.0ms
(* z (pow y 2))

simplify54.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380697
11716603
25001603

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (* z (pow y 2)))
0.0b
(fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2))))
0.1b
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2)))))) t))
8.5b
(* z (pow y 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube
10×prod-exp
9×associate-*r*
8×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*l*
4×expm1-log1p-u unpow-prod-down cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp pow-exp *-commutative fma-udef unpow2 sqr-pow
1×pow-prod-down
Counts
4 → 70
Calls
4 calls:
8.0ms
(* 1/2 (* z (pow y 2)))
0.0ms
(fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2))))
0.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2)))))) t))
6.0ms
(* z (pow y 2))

series73.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 1/2 (* z (pow y 2)))
18.0ms
(fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2))))
39.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* (* 1/2 (* z (pow y 2))) (/ 1 (pow 1.0 2)))))) t))
8.0ms
(* z (pow y 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0244540
1991462
25001462

prune991.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
8.5b
(* z (pow y 2))
8.5b
(* z (pow y 2))
8.5b
(* z (pow y 2))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down unswap-sqr
10×add-cbrt-cube
9×associate-*l* prod-exp
6×unpow2 sqr-pow
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp pow-exp *-commutative cbrt-unprod
1×pow1/3
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
6.0ms
(* z (pow y 2))
6.0ms
(* z (pow y 2))
6.0ms
(* z (pow y 2))

series115.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
7.0ms
(* z (pow y 2))
7.0ms
(* z (pow y 2))
8.0ms
(* z (pow y 2))

simplify41.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0322726
11088651
25001624

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes791.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.9s24019×body80nan
469.0ms5540×body80valid
374.0ms864×body640valid
290.0ms375×body1280valid
209.0ms760×body320valid
85.0ms487×body160valid