Details

Time bar (total: 8.7s)

analyze1.7s

Algorithm
search

sample66.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
17.0ms189×body80nan

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ 2.0 (* t 3.0))
3.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.7b
(/ (* z (sqrt (+ t a))) t)

rewrite33.0ms

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)))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series82.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
52.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010121260
150011212

prune231.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.5b

Counts
114 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

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)
22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
22.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
21.0ms
(cbrt t)
20.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
58.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017543649
150023540

prune415.0ms

Filtered
144 candidates to 181 candidates (-25.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh033
Picked011
Done000
Total1814185

Merged error: 0.5b

Counts
185 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* t 3.0))
2.9b
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
3.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.7b
(/ (* z (sqrt (+ t a))) t)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×flip3-- flip--
8×frac-times
6×times-frac associate-*r/ associate--r+ add-log-exp
5×pow1 log-prod
4×cbrt-undiv sub-neg flip3-+ div-exp associate-/r* log-pow flip-+ associate-/l*
3×distribute-rgt-in exp-prod distribute-lft-in
2×frac-2neg sqrt-div exp-sum associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod div-inv associate-/l/
1×log-div exp-diff diff-log rem-log-exp
Counts
4 → 94
Calls
4 calls:
7.0ms
(/ 2.0 (* t 3.0))
8.0ms
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series122.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
53.0ms
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09471433
147521338
250011338

prune239.0ms

Filtered
83 candidates to 106 candidates (-27.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh022
Picked011
Done011
Total1055110

Merged error: 0.5b

Counts
110 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

3.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.7b
(/ (* z (sqrt (+ t a))) t)
6.7b
(/ (* z (sqrt (+ t a))) t)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
40×frac-sub
18×flip3-- flip--
16×frac-times
14×add-exp-log add-cbrt-cube
12×associate-*r/ associate--r+
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
6×distribute-rgt-in sub-neg distribute-lft-in times-frac associate-/r*
4×pow1 cbrt-undiv sqrt-div div-exp associate-*l/ associate--l+ associate-/l/
2×frac-2neg diff-log prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 110
Calls
4 calls:
15.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
7.0ms
(/ (* z (sqrt (+ t a))) t)

series130.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)
16.0ms
(/ (* z (sqrt (+ t a))) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08352066
143461976
250011976

prune472.0ms

Filtered
102 candidates to 122 candidates (-19.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done022
Total1225127

Merged error: 0.5b

Counts
127 → 5

regimes962.0ms

Accuracy

61.8% (0.9b remaining)

Error of 1.5b against oracle of 0.6b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06444
16444

end0.0ms

analyze1.7s

Algorithm
search

sample1.8s

Algorithm
intervals
Results
804.0ms8000×body80valid
473.0ms4944×body80nan

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