Details

Time bar (total: 5.8s)

sample86.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
25.0ms261×body80nan

simplify38.0ms

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: 5.0b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
3.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.5b
(/ (* z (sqrt (+ t a))) t)

rewrite39.0ms

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)))))
10.0ms
(/ (* z (sqrt (+ t a))) t)

series343.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune530.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 1.0b

Counts
114 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.4b
(log (exp (/ 2.0 (* t 3.0))))
4.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.5b
(/ (* z (sqrt (+ t a))) t)

rewrite31.0ms

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))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
12.0ms
(- (/ (* 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)

series295.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))
181.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify84.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07681017
13739918
25001917

prune473.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done000
Total1013104

Merged error: 1.0b

Counts
104 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.0b
(+ (* a c) (* 0.8333333333333334 c))
1.5b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×exp-sum
9×associate-*r*
8×add-sqr-sqrt
6×pow1 distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
5×add-exp-log sub-neg associate--l+
3×associate-*l*
2×diff-log sum-log
1×+-commutative exp-prod distribute-rgt-out flip3-- exp-to-pow flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ rem-exp-log unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
5.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
6.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series171.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
43.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
30.0ms
(+ (* a c) (* 0.8333333333333334 c))
37.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify111.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0287596
11035532
23836515
35002510

prune200.0ms

Filtered
78 candidates to 52 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh011
Picked101
Done011
Total77481

Merged error: 0.5b

Counts
81 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- c b))
0.0b
(* y (exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c)))))
0.0b
(exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c))))
0.0b
(+ (* a (- c b)) (* 0.8333333333333334 c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity associate-*r*
8×pow1 add-cube-cbrt add-cbrt-cube add-log-exp
7×add-exp-log
6×distribute-rgt-in distribute-lft-in associate-*l*
4×sub-neg associate-+l+ exp-sum
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative exp-prod flip3-- exp-to-pow flip3-+ sum-log flip-- flip-+ rem-exp-log distribute-lft-out-- difference-of-squares
Counts
4 → 73
Calls
4 calls:
6.0ms
(* a (- c b))
8.0ms
(* y (exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c)))))
4.0ms
(exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c))))
7.0ms
(+ (* a (- c b)) (* 0.8333333333333334 c))

series179.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* a (- c b))
65.0ms
(* y (exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c)))))
44.0ms
(exp (* 2.0 (+ (* a (- c b)) (* 0.8333333333333334 c))))
34.0ms
(+ (* a (- c b)) (* 0.8333333333333334 c))

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0307516
11231450
25002450

prune183.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.5b

Counts
89 → 4

regimes298.0ms

Accuracy

56.2% (4.2b remaining)

Error of 5.0b against oracle of 0.8b and baseline of 10.3b

bsearch291.0ms

Steps
ItersRangePoint
3
6.011615347506551e-12
8.36852235832375e-12
8.14219427848037e-12
10
-4.611467848036546e-28
-4.2788676372796216e-38
-2.462699075631974e-37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08962
18962

end0.0ms

sample2.2s

Algorithm
intervals
Results
779.0ms8000×body80valid
755.0ms8085×body80nan

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