Details

Time bar (total: 15.1s)

sample71.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
17.0ms256×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: 5.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
0.2b
(/ 2.0 (* t 3.0))
3.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b
(/ (* z (sqrt (+ t a))) t)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
15×times-frac
9×flip3-- flip--
8×frac-times
7×associate-/r* associate-/l*
6×associate-*r/ associate--r+ add-log-exp
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1
3×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num div-inv
2×sqrt-div associate-*l/ prod-exp associate--l+ associate-/r/ cbrt-unprod associate-/l/
1×diff-log
Counts
4 → 105
Calls
4 calls:
4.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
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)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series573.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
20.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
77.0ms
(/ (* z (sqrt (+ t a))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010501912
150011782

prune601.0ms

Filtered
117 candidates to 93 candidates (79.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1134117
Fresh000
Picked101
Done000
Total1144118

Merged error: 0.7b

Counts
118 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.3b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite57.0ms

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

series672.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt t)
180.0ms
(cbrt t)
105.0ms
(* (/ 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)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017393626
150013513

prune1.2s

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1801181
Fresh123
Picked011
Done000
Total1814185

Merged error: 0.7b

Counts
185 → 4

localize36.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
4.4b
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
5.7b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
24.4b
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
469×associate-*l/
467×associate-*r/
320×frac-sub
306×flip3-- flip--
202×frac-times
102×associate-/l/
74×add-exp-log
65×add-cbrt-cube
42×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
10×cbrt-undiv div-exp
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×sub-neg associate-*l*
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 → 316
Calls
4 calls:
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
20.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
38.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
59.0ms
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series4.7s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
245.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
2.1s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
2.3s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify207.0ms

Algorithm
egg-herbie
Counts
328 → 328
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0375116844
1500116406

prune3.6s

Filtered
328 candidates to 276 candidates (84.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3280328
Fresh022
Picked011
Done011
Total3284332

Merged error: 0.7b

Counts
332 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.2b
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
1.1b
(- (+ (* 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
(+ (* a c) (* 0.8333333333333334 c))
5.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
4.0ms
(/ x (+ x (* y (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:
35.0ms
(+ (* a c) (* 0.8333333333333334 c))
38.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
102.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
33.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify122.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0353839
11257766
24519747
35001744

prune242.0ms

Filtered
83 candidates to 58 candidates (69.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487

Merged error: 0.7b

Counts
87 → 4

regimes284.0ms

Accuracy

16.1% (2.1b remaining)

Error of 2.5b against oracle of 0.4b and baseline of 2.9b

bsearch298.0ms

Steps
ItersRangePoint
7
5.154640842734532e-183
1.233455918503187e-181
9.761858671740632e-183
7
-1.7942833742098703e-99
-8.487564234888376e-101
-1.7782918400351398e-99

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07964
17964

end0.0ms

sample1.8s

Algorithm
intervals
Results
595.0ms8000×body80valid
589.0ms8211×body80nan