Details

Time bar (total: 10.8s)

sample126.0ms

Algorithm
intervals
Results
50.0ms906×body80nan
18.0ms292×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune4.0ms

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)
0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
20×add-log-exp
18×*-un-lft-identity
16×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
11×sum-log
10×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
7×associate-+l+
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
4.0ms
(+ (* x (log y)) z)
265.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series385.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* x (log y)) z)
231.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
59.0ms
(* (- b 0.5) (log c))
39.0ms
(* x (log y))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0619860
12417804
25001793

prune628.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
0.1b
(* (log (sqrt c)) (- b 0.5))
0.1b
(* (log (sqrt c)) (- b 0.5))
0.3b
(* x (log y))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
24×associate-*r/ add-log-exp
22×add-sqr-sqrt
20×frac-add
16×*-un-lft-identity
15×pow1 associate-*l* sum-log
14×associate-*r*
12×add-cube-cbrt flip3-- flip--
10×add-exp-log add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
7×flip3-+ log-pow flip-+
6×sub-neg log-prod
4×associate-+r+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×+-commutative associate-+l+
Counts
4 → 115
Calls
4 calls:
1.1s
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
11.0ms
(* (log (sqrt c)) (- b 0.5))
11.0ms
(* (log (sqrt c)) (- b 0.5))
4.0ms
(* x (log y))

series476.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
67.0ms
(* (log (sqrt c)) (- b 0.5))
68.0ms
(* (log (sqrt c)) (- b 0.5))
38.0ms
(* x (log y))

simplify115.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08751799
141851680
250011674

prune542.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 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)

rewrite26.0ms

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))
17.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms
(cbrt c)
1.0ms
(cbrt c)

series560.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* x (log y))
169.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
177.0ms
(cbrt c)
177.0ms
(cbrt c)

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0549851
12155729
25001698

prune628.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log y))
0.3b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
0.6b
(cbrt c)
5.1b
(pow c 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×log-prod
34×distribute-rgt-in distribute-lft-in
25×add-sqr-sqrt
24×associate-+l+
23×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
14×associate-+r+
9×unpow-prod-down
8×pow1 associate-*l/
7×add-exp-log
6×add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×pow-unpow associate-*l* sqr-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 108
Calls
4 calls:
4.0ms
(* x (log y))
17.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
0.0ms
(cbrt c)
1.0ms
(pow c 1/3)

series641.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* x (log y))
219.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow c 1/3))))
196.0ms
(cbrt c)
182.0ms
(pow c 1/3)

simplify83.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0659892
12528762
25002711

prune649.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes583.0ms

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
03918
13918

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s27444×body80nan
587.0ms9215×body80valid
1.0ms1×body1280valid
0.0ms2×body320valid