Details

Time bar (total: 7.4s)

sample81.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
21.0ms227×body80nan

simplify35.0ms

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: 4.5b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0b
(/ (* 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:
8.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
14.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series338.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
178.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune536.0ms

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

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.4b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite64.0ms

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)
29.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
21.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
184.0ms
(cbrt t)
108.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
214.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.2s

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.4b
(log (exp (/ 2.0 (* t 3.0))))
4.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.0b
(/ (* z (sqrt (+ t a))) t)

rewrite33.0ms

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))))
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)

series303.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 2.0 (* t 3.0))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))
182.0ms
(- (/ (* 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)

simplify87.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07681017
13739918
25001917

prune487.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh022
Picked011
Done101
Total1014105

Merged error: 0.5b

Counts
105 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.0b
(+ (* a c) (* 0.8333333333333334 c))
1.4b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-log-exp
6×exp-sum
3×pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate--l+ add-cbrt-cube
2×diff-log sum-log
1×+-commutative exp-prod distribute-rgt-out flip3-- exp-to-pow flip3-+ flip-- flip-+ rem-exp-log
Counts
3 → 42
Calls
3 calls:
6.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
7.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series109.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
35.0ms
(+ (* a c) (* 0.8333333333333334 c))
34.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify95.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0230346
1806314
23157301
35001297

prune133.0ms

Filtered
51 candidates to 34 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New51051
Fresh022
Picked011
Done011
Total51455

Merged error: 0.5b

Counts
55 → 4

regimes433.0ms

Accuracy

56.6% (4.3b remaining)

Error of 4.9b against oracle of 0.6b and baseline of 10.5b

bsearch262.0ms

Steps
ItersRangePoint
8
5.309150804642188e-06
0.0017726147833183985
0.0009327639641658886
5
-7.220575140548069e-89
-3.181639541250098e-89
-4.799507784337911e-89

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09163
19163

end0.0ms

sample2.2s

Algorithm
intervals
Results
772.0ms8000×body80valid
733.0ms7937×body80nan