Details

Time bar (total: 5.9s)

sample97.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
22.0ms218×body80nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
0524733

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
1.8b
(* z (/ (sqrt (+ t a)) t))
3.5b
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
19×associate-*r/
16×add-exp-log add-cbrt-cube
14×frac-add
10×associate-/l*
8×frac-times flip3-- flip--
7×distribute-lft-out
6×pow1 frac-sub add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv associate-+r+ div-exp associate-/r*
3×associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in sqrt-div associate-*l/ clear-num associate-/l/
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 140
Calls
4 calls:
8.0ms
(/ (sqrt (+ t a)) t)
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(* z (/ (sqrt (+ t a)) t))
16.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (sqrt (+ t a)) t)
2.0ms
(/ 2.0 (* t 3.0))
19.0ms
(* z (/ (sqrt (+ t a)) t))
62.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
049652752
149652752

prune307.0ms

Filtered
106 candidates to 152 candidates (-43.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1484152
Fresh101
Picked101
Done000
Total1504154

Merged error: 1.0b

Counts
154 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.9b
(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
1.8b
(* z (/ (sqrt (+ t a)) t))
3.5b
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
26×times-frac
25×associate-*r*
23×add-cube-cbrt
19×associate-*r/
14×add-exp-log frac-add add-cbrt-cube
13×sqrt-prod
8×frac-times flip3-- flip--
7×pow1
6×frac-sub add-log-exp
4×associate-+r+ log-prod flip3-+ log-pow flip-+
3×cbrt-undiv exp-prod div-exp associate-*l* prod-exp cbrt-unprod distribute-lft-out associate-/l* unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ div-inv
1×+-commutative frac-2neg rem-log-exp exp-sum pow-prod-down clear-num associate-/r* sum-log *-commutative
Counts
4 → 111
Calls
4 calls:
6.0ms
(/ 2.0 (* t 3.0))
12.0ms
(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
13.0ms
(* z (/ (sqrt (+ t a)) t))
16.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series143.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
59.0ms
(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
19.0ms
(* z (/ (sqrt (+ t a)) t))
62.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049562706
149562706

prune306.0ms

Filtered
89 candidates to 123 candidates (-38.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done000
Total1234127

Merged error: 1.0b

Counts
127 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.8b
(* z (/ (sqrt (+ t a)) t))
3.7b
(log (exp (/ 2.0 (* t 3.0))))
4.2b
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×*-un-lft-identity
29×times-frac
26×add-cube-cbrt
25×associate-*r*
14×add-exp-log add-cbrt-cube
13×sqrt-prod
11×associate-*r/
10×associate-+r+
9×log-prod
8×frac-add log-pow
7×pow1 exp-prod
6×flip3-- associate--l+ flip-- add-log-exp
5×distribute-rgt-in distribute-lft-in
4×frac-times
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod div-inv distribute-lft-out associate-/l* unswap-sqr
2×sub-neg associate-*l/
1×+-commutative frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num associate-/r* sum-log *-commutative flip-+
Counts
4 → 114
Calls
4 calls:
6.0ms
(/ 2.0 (* t 3.0))
13.0ms
(* z (/ (sqrt (+ t a)) t))
5.0ms
(log (exp (/ 2.0 (* t 3.0))))
17.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
19.0ms
(* z (/ (sqrt (+ t a)) t))
2.0ms
(log (exp (/ 2.0 (* t 3.0))))
61.0ms
(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (log (exp (/ 2.0 (* t 3.0)))) (+ a (/ 5.0 6.0)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049891983
149891983

prune288.0ms

Filtered
92 candidates to 126 candidates (-37.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh112
Picked011
Done011
Total1264130

Merged error: 1.0b

Counts
130 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c 0.8333333333333334) (* a (- c b)))
0.0b
(* a (- c b))
0.0b
(/ x (+ x (* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))))
0.2b
(* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×associate-*r*
12×add-exp-log
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*l* add-log-exp
4×distribute-rgt-in sub-neg unpow-prod-down associate-+r+ distribute-lft-in prod-exp unswap-sqr
3×associate-/r* associate-/l*
2×flip3-+ associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-+ sqr-pow
1×cbrt-undiv unpow-prod-up +-commutative pow-to-exp flip3-- frac-2neg div-exp pow-prod-down pow-exp clear-num sum-log flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
5.0ms
(+ (* c 0.8333333333333334) (* a (- c b)))
8.0ms
(* a (- c b))
5.0ms
(/ x (+ x (* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))))
7.0ms
(* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* c 0.8333333333333334) (* a (- c b)))
8.0ms
(* a (- c b))
48.0ms
(/ x (+ x (* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))))
35.0ms
(* y (pow (exp 2.0) (+ (* c 0.8333333333333334) (* a (- c b)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049931619
149931619

prune190.0ms

Filtered
75 candidates to 108 candidates (-44.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh101
Picked101
Done112
Total1084112

Merged error: 0.2b

Counts
112 → 4

regimes688.0ms

Accuracy

0% (3.2b remaining)

Error of 3.6b against oracle of 0.4b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03835
13835

end0.0ms

sample3.1s

Algorithm
intervals
Results
829.0ms8000×body80valid
807.0ms7873×body80nan

Profiling

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