Details

Time bar (total: 35.1s)

sample74.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
19.0ms291×body80nan

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b
(/ (* 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:
12.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
21.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series349.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
182.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
84.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune590.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

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)
39.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
32.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series705.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
180.0ms
(cbrt t)
110.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
226.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.2s

Filtered
181 candidates to 145 candidates (80.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (* (* (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))))
4.2b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
7.4b
(- (* (* 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)))))
30.6b
(/ (- (* (* 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))))

rewrite949.0ms

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))))
13.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
379.0ms
(- (* (* 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)))))
331.0ms
(/ (- (* (* 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:
205.0ms
(* (* (* (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))))
52.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
807.0ms
(- (* (* 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)))))
939.0ms
(/ (- (* (* 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))))

simplify345.0ms

Algorithm
egg-herbie
Counts
471 → 471
Iterations

Useful iterations: 1 (102.0ms)

IterNodesCost
0490128084
1500127841

prune6.1s

Filtered
471 candidates to 413 candidates (87.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
3.6b
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
7.4b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
30.6b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 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))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
2884×associate-*l/
2718×associate-*r/
1808×frac-sub
1608×flip3-- flip--
1588×frac-times
750×sqrt-div
681×flip3-+ flip-+
500×associate-/l/
110×sub-div
93×add-exp-log
73×add-cbrt-cube
57×prod-exp cbrt-unprod
46×pow1
30×pow-prod-down
16×distribute-rgt-in distribute-lft-in
10×cbrt-undiv div-exp
9×sub-neg
8×associate--r+
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×times-frac associate-/l*
2×associate-*r* associate-*l* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 1192
Calls
4 calls:
49.0ms
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
300.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
285.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
464.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 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:
92.0ms
(* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
211.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
811.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
925.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 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))))

simplify679.0ms

Algorithm
egg-herbie
Counts
1204 → 1204
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0500174708

prune15.9s

Filtered
1204 candidates to 1156 candidates (96.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

29.9% (1.3b remaining)

Error of 2.4b against oracle of 1.0b and baseline of 3.0b

bsearch359.0ms

Steps
ItersRangePoint
8
2.1030767940956052e-274
4.458132482621783e-271
1.3662838675927531e-273
9
-2.0757317052567278e-125
-3.6611884137530215e-133
-8.76619654161933e-130

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07866
17866

end0.0ms

sample1.7s

Algorithm
intervals
Results
572.0ms8000×body80valid
528.0ms7836×body80nan