Details

Time bar (total: 6.6s)

sample86.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
27.0ms277×body80nan

simplify34.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.1b
(/ (* z (sqrt (+ t a))) t)

rewrite38.0ms

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:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
15.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series381.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
185.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
99.0ms
(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune510.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.7b

Counts
114 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.4b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite55.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
19.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series688.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt t)
169.0ms
(cbrt t)
224.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
131.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify142.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017343625
150013518

prune955.0ms

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh033
Picked011
Done000
Total1814185

Merged error: 0.7b

Counts
185 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.1b
(/ (* z (sqrt (+ t a))) t)
5.5b
(log (exp (/ 2.0 (* t 3.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
8.0ms
(/ (* z (sqrt (+ t a))) t)
4.0ms
(log (exp (/ 2.0 (* t 3.0))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
194.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
107.0ms
(/ (* z (sqrt (+ t a))) t)
19.0ms
(log (exp (/ 2.0 (* t 3.0))))

simplify85.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07631016
13784927
25001926

prune449.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0.7b

Counts
105 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* a c) (* 0.8333333333333334 c))
1.9b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log sum-log add-cbrt-cube
1×+-commutative sub-neg distribute-rgt-out flip3-- flip3-+ associate--l+ flip-- flip-+
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
6.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series66.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* a c) (* 0.8333333333333334 c))
36.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify80.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0164197
1636180
22663172
35001172

prune79.0ms

Filtered
32 candidates to 23 candidates (71.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31132
Fresh011
Picked101
Done022
Total32436

Merged error: 0.2b

Counts
36 → 4

regimes269.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample2.2s

Algorithm
intervals
Results
826.0ms8000×body80valid
778.0ms7911×body80nan

Profiling

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