Details

Time bar (total: 10.4s)

sample129.0ms

Algorithm
intervals
Results
50.0ms900×body80nan
19.0ms299×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b
(+ (+ (+ (* x (log y)) z) t) a)
0.1b
(* (- b 0.5) (log c))
0.2b
(* x (log y))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
33×add-log-exp
21×sum-log
19×*-un-lft-identity
18×add-sqr-sqrt
12×add-cube-cbrt log-prod
10×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×distribute-rgt-in distribute-lft-in
3×distribute-lft-out
2×+-commutative associate-+l+ flip3-+ pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
1.1s
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
66.0ms
(+ (+ (+ (* x (log y)) z) t) a)
11.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series701.0ms

Counts
4 → 12
Calls
4 calls:
528.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
76.0ms
(+ (+ (+ (* x (log y)) z) t) a)
57.0ms
(* (- b 0.5) (log c))
40.0ms
(* x (log y))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0488720
11959645
25001625

prune333.0ms

Filtered
98 candidates to 64 candidates (65.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log y))
0.3b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
24×cbrt-prod add-sqr-sqrt associate-+l+
22×add-cube-cbrt *-un-lft-identity
12×associate-+r+
8×associate-*l/
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
4.0ms
(* x (log y))
20.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms
(cbrt c)
1.0ms
(cbrt c)

series569.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* x (log y))
172.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
177.0ms
(cbrt c)
177.0ms
(cbrt c)

simplify66.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0549851
12155729
25001698

prune625.0ms

Filtered
111 candidates to 94 candidates (84.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (/ 1 c) -1/3))
0.2b
(* x (log y))
0.4b
(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
5.0b
(pow (/ 1 c) -1/3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity
23×log-prod
19×add-exp-log
18×times-frac
11×pow1
8×pow-exp add-cbrt-cube
7×associate-*r* associate-*l*
6×rem-log-exp
5×distribute-rgt-in distribute-lft-in
4×div-exp add-log-exp
3×pow-unpow pow-pow log-pow
2×pow-to-exp sub-neg rec-exp 1-exp associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr sqr-pow
1×flip3-- pow-flip flip-- inv-pow
Counts
4 → 113
Calls
4 calls:
4.0ms
(log (pow (/ 1 c) -1/3))
4.0ms
(* x (log y))
11.0ms
(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
4.0ms
(pow (/ 1 c) -1/3)

series643.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(log (pow (/ 1 c) -1/3))
37.0ms
(* x (log y))
170.0ms
(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
182.0ms
(pow (/ 1 c) -1/3)

simplify60.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0486713
11953592
25001546

prune487.0ms

Filtered
125 candidates to 80 candidates (64.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series542.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* x (log (cbrt y)))
100.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0345729
11431634
25001547

prune576.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes565.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s27293×body80nan
580.0ms9149×body80valid
0.0ms1×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid