Details

Time bar (total: 9.4s)

sample158.0ms

Algorithm
intervals
Results
70.0ms724×body80nan
20.0ms176×body80valid
11.0ms25×body640valid
11.0ms14×body1280valid
11.0ms29×body320valid
2.0ms12×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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: 7.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z (log (- 1.0 y))) t)
0.0b
(* z (log (- 1.0 y)))
0.1b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
6.1b
(log (- 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×log-prod
24×add-sqr-sqrt
22×*-un-lft-identity
12×add-cube-cbrt
10×distribute-rgt-in distribute-lft-in associate--l+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-*l* prod-diff
2×log-div flip3-- log-pow flip--
1×sub-neg fma-neg diff-log rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 87
Calls
4 calls:
7.0ms
(- (* z (log (- 1.0 y))) t)
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))

series290.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* z (log (- 1.0 y))) t)
66.0ms
(* z (log (- 1.0 y)))
114.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
46.0ms
(log (- 1.0 y))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0461620
11606547
25001537

prune306.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

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)))
0.2b
(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))
7.2b
(* z (pow y 2))

rewrite27.0ms

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:
3.0ms
(- (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))
6.0ms
(* z (pow y 2))

series374.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
59.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
161.0ms
(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))
30.0ms
(* z (pow y 2))

simplify67.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04841195
12176980
25001980

prune448.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b
(+ (* (log y) x) (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
0.3b
(* (log y) x)
7.2b
(* z (pow y 2))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
29×add-sqr-sqrt
26×prod-exp
23×associate-*r*
19×add-cube-cbrt *-un-lft-identity
17×add-cbrt-cube
12×associate-+r+ div-exp
10×associate-*l*
9×pow1 prod-diff add-log-exp
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×*-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down sum-log
1×+-commutative associate-+r- sub-neg fma-def flip3-+ diff-log associate-*r/ associate--l+ log-pow flip-+ fma-udef div-inv
Counts
4 → 122
Calls
4 calls:
13.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
9.0ms
(+ (* (log y) x) (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
3.0ms
(* (log y) x)
6.0ms
(* z (pow y 2))

series319.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
164.0ms
(+ (* (log y) x) (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
60.0ms
(* (log y) x)
34.0ms
(* z (pow y 2))

simplify75.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05921085
12452938
25002933

prune496.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log y))
0.5b
(cbrt (log y))
0.5b
(* (cbrt (log y)) (cbrt (log y)))
7.2b
(* z (pow y 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
31×add-sqr-sqrt
19×pow1 *-un-lft-identity
17×add-cube-cbrt
15×associate-*r*
11×add-exp-log
10×associate-*l*
9×swap-sqr
8×pow1/3 log-pow unswap-sqr
6×add-cbrt-cube
4×expm1-log1p-u unpow-prod-down prod-exp log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr *-commutative pow-prod-up cbrt-unprod unpow2 sqr-pow
1×pow2 pow-to-exp pow-plus pow-exp
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))
7.0ms
(* (cbrt (log y)) (cbrt (log y)))
6.0ms
(* z (pow y 2))

series830.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt (log y))
260.0ms
(cbrt (log y))
274.0ms
(* (cbrt (log y)) (cbrt (log y)))
33.0ms
(* z (pow y 2))

simplify47.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0227557
1865478
25001427

prune494.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes197.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03119
13119

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.4s24009×body80nan
651.0ms5543×body80valid
398.0ms873×body640valid
314.0ms401×body1280valid
225.0ms737×body320valid
99.0ms481×body160valid