Details

Time bar (total: 9.7s)

sample170.0ms

Algorithm
intervals
Results
80.0ms724×body80nan
23.0ms186×body80valid
15.0ms26×body640valid
9.0ms9×body1280valid
8.0ms26×body320valid
2.0ms9×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
15×log-prod
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
4×associate-*r* distribute-lft-out-- difference-of-squares
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×log-div flip3-- associate-*l/ log-pow flip--
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 63
Calls
3 calls:
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* (- z 1.0) (log (- 1.0 y)))
203.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
43.0ms
(log (- 1.0 y))

simplify36.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0364521
11204461
25001449

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
80×times-frac
78×*-un-lft-identity
74×associate-*r*
73×add-cube-cbrt
56×unpow-prod-down
51×prod-diff
46×associate--l+
34×distribute-rgt-in distribute-lft-in
29×add-exp-log
24×unpow2 sqr-pow
21×pow1
18×unswap-sqr
13×log-pow
12×log-prod
11×prod-exp add-cbrt-cube
9×div-exp
8×associate-*l*
7×flip3-- flip--
6×pow-to-exp pow-exp add-log-exp
5×sub-neg
4×expm1-log1p-u frac-times log1p-expm1-u
3×associate-*r/ cbrt-unprod distribute-lft-out--
2×pow-prod-down associate-*l/ *-commutative difference-of-squares
1×cbrt-undiv fma-neg diff-log fma-udef div-inv
Counts
4 → 241
Calls
4 calls:
22.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
41.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series483.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
49.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
215.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify132.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010533734
146722536
250012536

prune902.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
26×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
8×add-cbrt-cube
6×pow-to-exp pow-exp
5×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×cbrt-unprod fma-udef
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv
Counts
3 → 132
Calls
3 calls:
0.0ms
(fma (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- t))
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0ms
(fma (log y) (- x 1.0) (fma (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- t)))

series332.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(fma (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- t))
55.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
169.0ms
(fma (log y) (- x 1.0) (fma (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))) (- t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06341102
13061865
25002862

prune587.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* z (pow y 2)))
0.0b
(fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
0.1b
(fma (log y) (- x 1.0) (- (fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))) t))
7.2b
(* 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
(* 0.5 (* z (pow y 2)))
0.0ms
(fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
0.0ms
(fma (log y) (- x 1.0) (- (fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))) t))
6.0ms
(* z (pow y 2))

series201.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.5 (* z (pow y 2)))
40.0ms
(fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2))))))
101.0ms
(fma (log y) (- x 1.0) (- (fma 0.5 (pow y 2) (- (fma 1.0 (* z y) (* 0.5 (* z (pow y 2)))))) t))
28.0ms
(* z (pow y 2))

simplify176.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0232531
1850455
24835453
35001453

prune265.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes208.0ms

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
02414
12414

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.7s24009×body80nan
748.0ms5885×body80valid
397.0ms803×body640valid
221.0ms677×body320valid
197.0ms238×body1280valid
96.0ms432×body160valid