Details

Time bar (total: 8.9s)

sample74.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
15.0ms247×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.4b
(/ (* z (sqrt (+ t a))) t)

rewrite84.0ms

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:
21.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
37.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series317.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
167.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
75.0ms
(/ (* z (sqrt (+ t a))) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010191262
150011200

prune568.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite127.0ms

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)
63.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
51.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series823.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
347.0ms
(cbrt t)
99.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
201.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.8b
(log (exp (/ 2.0 (* t 3.0))))
4.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.4b
(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

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:
7.0ms
(/ 2.0 (* t 3.0))
9.0ms
(log (exp (/ 2.0 (* t 3.0))))
36.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series273.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 2.0 (* t 3.0))
15.0ms
(log (exp (/ 2.0 (* t 3.0))))
168.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
74.0ms
(/ (* z (sqrt (+ t a))) t)

simplify83.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07681017
13739918
25001917

prune550.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
6.0b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.9b
(log (exp (cbrt t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
20×associate-*l/
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
53.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0ms
(log (exp (cbrt t)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t)
177.0ms
(cbrt t)
210.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
172.0ms
(log (exp (cbrt t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012812693
150012579

prune898.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes497.0ms

Accuracy

46.3% (5.1b remaining)

Error of 6.0b against oracle of 0.9b and baseline of 10.5b

bsearch373.0ms

Steps
ItersRangePoint
9
2.6676697376017112e-55
3.9015637368349155e-48
1.379871604667855e-48
9
-3.5886031459952432e-127
-6.287300119076746e-133
-3.5540547418070106e-127

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09583
19583

end0.0ms

sample1.9s

Algorithm
intervals
Results
532.0ms8000×body80valid
509.0ms8126×body80nan