Details

Time bar (total: 8.7s)

sample81.0ms

Algorithm
intervals
Results
25.0ms242×body80nan
22.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

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: 5.5b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ 2.0 (* t 3.0))
3.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.3b
(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

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))
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)

series342.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
21.0ms
(/ 2.0 (* t 3.0))
182.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune529.0ms

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: 1.2b

Counts
114 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.2b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite60.0ms

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

series700.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
178.0ms
(cbrt t)
109.0ms
(* (/ 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)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017393626
150013513

prune1.0s

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh033
Picked101
Done000
Total1814185

Merged error: 1.2b

Counts
185 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* t 3.0))
3.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0b
(log (exp (/ 2.0 (* t 3.0))))
4.3b
(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

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)))))))
7.0ms
(log (exp (/ 2.0 (* t 3.0))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series290.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify83.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07681017
13739918
25001917

prune675.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done000
Total1014105

Merged error: 1.2b

Counts
105 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
5.2b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.1b
(log (exp (cbrt t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
20×associate-*l/
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
27.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.0ms
(log (exp (cbrt t)))

series742.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
172.0ms
(cbrt t)
217.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
177.0ms
(log (exp (cbrt t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012812693
150012579

prune814.0ms

Filtered
112 candidates to 102 candidates (91.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done011
Total1124116

Merged error: 1.2b

Counts
116 → 4

regimes425.0ms

Accuracy

61.5% (3.8b remaining)

Error of 4.9b against oracle of 1.0b and baseline of 11.0b

bsearch447.0ms

Steps
ItersRangePoint
10
1.5891450138209943e-07
6283637.344060136
0.0009401755653520484
10
-2.3841354416619212e-35
-4.515775859699128e-49
-4.8188302089497085e-45

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09377
19377

end0.0ms

sample2.1s

Algorithm
intervals
Results
734.0ms8000×body80valid
678.0ms7863×body80nan

Profiling

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