Details

Time bar (total: 7.2s)

sample99.0ms

Algorithm
intervals
Results
36.0ms795×body80nan
9.0ms188×body80valid
7.0ms13×body1280valid
7.0ms23×body640valid
3.0ms19×body320valid
2.0ms15×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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

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))
6.5b
(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))

series248.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* z (log (- 1.0 y)))
133.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
48.0ms
(log (- 1.0 y))

simplify99.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune206.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b
(* 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))
7.0b
(* z (pow y 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
28×add-sqr-sqrt
25×prod-exp
20×*-un-lft-identity associate-*r*
18×add-cube-cbrt
15×add-cbrt-cube
12×div-exp
9×prod-diff
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×pow1 associate-*l* add-log-exp
5×cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×fma-neg unpow2 sqr-pow
2×cbrt-undiv *-commutative fma-udef
1×sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate--l+ flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
6.0ms
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
13.0ms
(* 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))
5.0ms
(* z (pow y 2))

series389.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
57.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
167.0ms
(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))
31.0ms
(* z (pow y 2))

simplify68.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04841180
12081980
25001980

prune452.0ms

Filtered
124 candidates to 78 candidates (62.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
0.1b
(fma (log y) x (- (* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
1.8b
(log (- (pow 1.0 3) (pow y 3)))
6.5b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
78×log-prod
60×*-un-lft-identity
50×associate--l+
49×difference-of-squares
45×distribute-rgt-in distribute-lft-in
36×unpow-prod-down cube-prod
32×prod-diff
28×pow1
26×add-cube-cbrt
24×sqr-pow
22×log-pow
19×distribute-lft-out--
8×add-exp-log log-div associate-*r*
6×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u associate--r- add-log-exp
3×difference-cubes flip3-+ associate-*l* flip-+
2×sub-neg flip3-- associate-*r/ rem-log-exp flip--
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 181
Calls
4 calls:
43.0ms
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
0.0ms
(fma (log y) x (- (* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
22.0ms
(log (- (pow 1.0 3) (pow y 3)))
7.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
188.0ms
(fma (log y) x (- (* z (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
267.0ms
(log (- (pow 1.0 3) (pow y 3)))
59.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify107.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07723751
130642954
250022952

prune565.0ms

Filtered
193 candidates to 95 candidates (49.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (log y) x (- (fma 1.0 (/ (* (pow y 3) z) (pow 1.0 2)) (- (fma 1.0 (* z y) (fma 1.3333333333333333 (* z (pow y 3)) (* 0.5 (* z (pow y 2))))))) t))
6.2b
(* (pow y 3) z)
6.2b
(* z (pow y 3))
7.0b
(* z (pow y 2))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
23×associate-*r*
19×add-exp-log
18×associate-*l*
15×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down unswap-sqr
10×add-cbrt-cube
9×prod-exp
8×cube-prod
6×sqr-pow
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp *-commutative cbrt-unprod
2×cube-mult unpow3 unpow2
1×fma-udef
Counts
4 → 105
Calls
4 calls:
0.0ms
(fma (log y) x (- (fma 1.0 (/ (* (pow y 3) z) (pow 1.0 2)) (- (fma 1.0 (* z y) (fma 1.3333333333333333 (* z (pow y 3)) (* 0.5 (* z (pow y 2))))))) t))
6.0ms
(* (pow y 3) z)
7.0ms
(* z (pow y 3))
6.0ms
(* z (pow y 2))

series288.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(fma (log y) x (- (fma 1.0 (/ (* (pow y 3) z) (pow 1.0 2)) (- (fma 1.0 (* z y) (fma 1.3333333333333333 (* z (pow y 3)) (* 0.5 (* z (pow y 2))))))) t))
21.0ms
(* (pow y 3) z)
59.0ms
(* z (pow y 3))
30.0ms
(* z (pow y 2))

simplify61.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314599
11542520
25002520

prune511.0ms

Filtered
117 candidates to 78 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes185.0ms

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
02817
12817

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23853×body80nan
286.0ms5531×body80valid
264.0ms908×body640valid
251.0ms423×body1280valid
123.0ms717×body320valid
49.0ms458×body160valid