Details

Time bar (total: 10.6s)

sample164.0ms

Algorithm
intervals
Results
83.0ms886×body80nan
20.0ms186×body80valid
9.0ms24×body640valid
7.0ms9×body1280valid
6.0ms22×body320valid
3.0ms17×body160valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

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))
8.0b
(log (- 1.0 y))

rewrite22.0ms

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))

series299.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (- z 1.0) (log (- 1.0 y)))
208.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
43.0ms
(log (- 1.0 y))

simplify34.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0364521
11204461
25001449

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 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))

rewrite107.0ms

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:
23.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
31.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
40.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 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))

series492.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
53.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
65.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
226.0ms
(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))

simplify59.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010533803
150012532

prune917.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
143×add-sqr-sqrt
106×*-un-lft-identity
99×add-cube-cbrt
87×prod-diff
80×times-frac
79×associate-*r*
56×distribute-rgt-in unpow-prod-down distribute-lft-in
46×associate--l+
39×associate-+r+
31×add-exp-log
24×pow1 unpow2 sqr-pow
22×associate-+l+
19×unswap-sqr
14×log-pow
13×add-cbrt-cube
12×log-prod associate-*l* prod-exp
11×flip3-- flip--
9×sub-neg associate-*r/ div-exp add-log-exp
6×pow-to-exp pow-exp
4×expm1-log1p-u frac-times frac-add cbrt-unprod log1p-expm1-u distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×associate-*l/ sum-log
1×cbrt-undiv +-commutative associate-+r- fma-def flip3-+ diff-log flip-+ div-inv
Counts
4 → 307
Calls
4 calls:
29.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
50.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
40.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
12.0ms
(* (log y) (- x 1.0))

series455.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
236.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
67.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
98.0ms
(* (log y) (- x 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014924543
150013426

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (log y) (- x 1.0)))
0.5b
(cbrt (* (log y) (- x 1.0)))
0.5b
(cbrt (* (log y) (- x 1.0)))
0.5b
(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt (* (log y) (- x 1.0)))
3.0ms
(cbrt (* (log y) (- x 1.0)))
3.0ms
(cbrt (* (log y) (- x 1.0)))
11.0ms
(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))

series712.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (* (log y) (- x 1.0)))
149.0ms
(cbrt (* (log y) (- x 1.0)))
144.0ms
(cbrt (* (log y) (- x 1.0)))
272.0ms
(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))

simplify92.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07521618
138441539
250011504

prune555.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes351.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.2s24375×body80nan
611.0ms5788×body80valid
319.0ms830×body640valid
187.0ms267×body1280valid
177.0ms696×body320valid
78.0ms446×body160valid