Details

Time bar (total: 12.0s)

sample96.0ms

Algorithm
intervals
Results
34.0ms718×body80nan
10.0ms32×body640valid
8.0ms166×body80valid
5.0ms9×body1280valid
5.0ms27×body320valid
2.0ms22×body160valid

simplify25.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize10.0ms

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))
6.0b
(log (- 1.0 y))

rewrite24.0ms

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:
16.0ms
(* z (log (- 1.0 y)))
0.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
6.0ms
(log (- 1.0 y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* z (log (- 1.0 y)))
106.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
38.0ms
(log (- 1.0 y))

simplify105.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune278.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
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))
9.4b
(* z (pow y 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×add-exp-log prod-diff
8×associate-*r*
6×add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u unpow-prod-down log1p-expm1-u unswap-sqr
3×fma-neg associate-*l* prod-exp fma-udef
2×unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp associate--l+ *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
6.0ms
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
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))
12.0ms
(* z (pow y 2))

series388.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
114.0ms
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
151.0ms
(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))
26.0ms
(* z (pow y 2))

simplify42.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02991009
11074828
25002819

prune595.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(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)))
9.4b
(* z (pow y 2))
9.4b
(* z (pow y 2))
9.4b
(* z (pow y 2))

rewrite41.0ms

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:
1.0ms
(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)))
14.0ms
(* z (pow y 2))
11.0ms
(* z (pow y 2))
11.0ms
(* z (pow y 2))

series385.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(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)))
31.0ms
(* z (pow y 2))
27.0ms
(* z (pow y 2))
27.0ms
(* z (pow y 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0322726
11088651
25001624

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

9.4b
(* z (pow y 2))
9.4b
(* z (pow y 2))
9.4b
(* z (pow y 2))
9.4b
(* z (pow y 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×associate-*r*
24×add-exp-log
16×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
12×associate-*l* prod-exp add-cbrt-cube
8×unpow2 sqr-pow
4×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 116
Calls
4 calls:
11.0ms
(* z (pow y 2))
13.0ms
(* z (pow y 2))
11.0ms
(* z (pow y 2))
11.0ms
(* z (pow y 2))

series107.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* z (pow y 2))
29.0ms
(* z (pow y 2))
26.0ms
(* z (pow y 2))
26.0ms
(* z (pow y 2))

simplify76.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0109456
1438372
22009372
35001368

prune3.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes645.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s23555×body80nan
288.0ms5477×body80valid
278.0ms919×body640valid
256.0ms428×body1280valid
137.0ms753×body320valid
50.0ms455×body160valid