Details

Time bar (total: 13.6s)

sample87.0ms

Algorithm
intervals
Results
29.0ms279×body80nan
24.0ms256×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

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ 2.0 (* t 3.0))
3.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b
(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

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))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series334.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
176.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune524.0ms

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: 0.7b

Counts
114 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite56.0ms

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)
25.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
19.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series677.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t)
175.0ms
(cbrt t)
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
217.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017393626
150013513

prune999.0ms

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh022
Picked011
Done000
Total1813184

Merged error: 0.7b

Counts
184 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.5b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log exp-sum add-cbrt-cube
4×pow1
3×distribute-rgt-in sub-neg distribute-lft-in associate--l+ associate-/r* associate-/l*
2×flip3-+ diff-log sum-log associate-/r/ flip-+
1×cbrt-undiv +-commutative exp-prod distribute-rgt-out flip3-- exp-to-pow frac-2neg div-exp clear-num flip-- div-inv rem-exp-log
Counts
4 → 71
Calls
4 calls:
4.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
5.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
6.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series208.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
30.0ms
(+ (* a c) (* 0.8333333333333334 c))
39.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
38.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify125.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0353839
11257766
24519747
35001744

prune220.0ms

Filtered
83 candidates to 59 candidates (71.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 0.7b

Counts
86 → 3

localize37.0ms

Local error

Found 4 expressions with local error:

4.6b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
5.6b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
8.0b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
27.7b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 437
Calls
4 calls:
18.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
8.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
35.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
60.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
178.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
52.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
577.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
693.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify312.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (97.0ms)

IterNodesCost
0464124427
1500124209

prune5.3s

Filtered
449 candidates to 410 candidates (91.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4472449
Fresh000
Picked101
Done022
Total4484452

Merged error: 0b

Counts
452 → 4

regimes284.0ms

Accuracy

28.4% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.8b

bsearch303.0ms

Steps
ItersRangePoint
6
9.518353832245146e-113
5.891809984540303e-112
1.0531230862471613e-112
8
-1.383969007528006e-135
-2.650054575691464e-138
-2.8536611771304023e-136

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07656
17656

end0.0ms

sample2.2s

Algorithm
intervals
Results
781.0ms8000×body80valid
737.0ms7956×body80nan