Details

Time bar (total: 12.6s)

sample3.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.976347%

Guaranteed chance to sample good point: 31.319188%

Results
24.0ms256×body80valid
18.0ms165×body80nan

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.2b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0b
(/ (* z (sqrt (+ t a))) t)

rewrite37.0ms

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)))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series82.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010121260
150011212

prune239.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.3b

Counts
114 → 4

localize31.0ms

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))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite54.0ms

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)
19.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
57.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017543649
150013540

prune420.0ms

Filtered
144 candidates to 181 candidates (-25.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh033
Picked011
Done000
Total1814185

Merged error: 0.3b

Counts
185 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.6b
(log (exp (/ 2.0 (* t 3.0))))
6.0b
(/ (* 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))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
9.0ms
(/ (* z (sqrt (+ t a))) t)

series72.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 2.0 (* t 3.0))
52.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
2.0ms
(log (exp (/ 2.0 (* t 3.0))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

simplify85.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07631016
13784927
25001926

prune220.0ms

Filtered
79 candidates to 101 candidates (-27.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh112
Picked011
Done011
Total1014105

Merged error: 0.3b

Counts
105 → 4

localize14.0ms

Local error

Found 3 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))
0.9b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-log-exp
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-+ diff-log sum-log associate-/r/ flip-+
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- frac-2neg div-exp associate--l+ clear-num flip-- div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(/ x (+ x (* y (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))

series53.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
5.0ms
(+ (* a c) (* 0.8333333333333334 c))
8.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify122.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0297690
11118632
24177618
35001618

prune102.0ms

Filtered
48 candidates to 64 candidates (-33.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh011
Picked101
Done022
Total63568

Merged error: 0b

Counts
68 → 5

regimes741.0ms

Accuracy

0% (2.0b remaining)

Error of 2.8b against oracle of 0.9b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample6.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.976347%

Guaranteed chance to sample good point: 31.319188%

Results
776.0ms8000×body80valid
443.0ms4773×body80nan

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