Details

Time bar (total: 16.1s)

sample64.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
17.0ms224×body80nan

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0b
(/ (* z (sqrt (+ t a))) t)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
14.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
18.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series326.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
171.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
78.0ms
(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune557.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
29.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
42.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
169.0ms
(cbrt t)
212.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
110.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.1s

Filtered
181 candidates to 145 candidates (80.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
3.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
7.9b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
33.2b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite799.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
77×add-exp-log
57×add-cbrt-cube
45×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
16×distribute-rgt-in distribute-lft-in
10×cbrt-undiv div-exp
9×sub-neg
8×associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*l*
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 459
Calls
4 calls:
145.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
14.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
201.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
357.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series2.0s

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
46.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
828.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
936.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify351.0ms

Algorithm
egg-herbie
Counts
471 → 471
Iterations

Useful iterations: 1 (94.0ms)

IterNodesCost
0490128084
1500127841

prune6.3s

Filtered
471 candidates to 413 candidates (87.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.3b
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
33.8b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) 0) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
60×add-cbrt-cube
42×prod-exp cbrt-unprod
25×pow1
15×pow-prod-down
10×cbrt-undiv associate-*r/ div-exp associate-*l/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod sqrt-div
5×flip3-- flip--
4×frac-times add-log-exp
3×flip3-+ times-frac flip-+ associate-/l*
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg div-sub associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
52.0ms
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
222.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) 0) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
175.0ms
(cbrt t)
94.0ms
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
274.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) 0) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
08931897
150011366

prune467.0ms

Filtered
112 candidates to 72 candidates (64.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (2.2b remaining)

Error of 2.6b against oracle of 0.4b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample1.7s

Algorithm
intervals
Results
566.0ms8000×body80valid
517.0ms7901×body80nan