Details

Time bar (total: 12.3s)

sample71.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms271×body80nan

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
1.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.9b
(/ (* z (sqrt (+ t a))) t)

rewrite45.0ms

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:
14.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
18.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series333.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
19.0ms
(/ 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)

simplify43.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune569.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite82.0ms

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:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
28.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
42.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
180.0ms
(cbrt t)
216.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
114.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* b b) (* c c))
5.3b
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
6.6b
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.4b
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (+ b c)))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
532×associate-*r/
326×frac-sub
248×frac-times
220×flip3-+ flip-+
168×sqrt-div
139×flip3-- flip--
114×associate-/l/
90×associate-*l/
39×add-exp-log
27×add-cbrt-cube
25×pow1 distribute-rgt-in distribute-lft-in
21×prod-exp cbrt-unprod
15×pow-prod-down
12×associate--r+
10×sub-neg associate--l+
8×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×diff-log associate-/r/
1×frac-2neg div-sub associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
4 → 347
Calls
4 calls:
3.0ms
(- (* b b) (* c c))
53.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
156.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
141.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (+ b c)))

series1.6s

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* b b) (* c c))
673.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
141.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
770.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (+ b c)))

simplify188.0ms

Algorithm
egg-herbie
Counts
359 → 359
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
0368014043
1500113771

prune4.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
0.0b
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.0b
(+ (* a c) (* 0.8333333333333334 c))
1.9b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite34.0ms

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:
10.0ms
(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)))))))
2.0ms
(+ (* a c) (* 0.8333333333333334 c))
16.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series209.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
99.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
31.0ms
(+ (* a c) (* 0.8333333333333334 c))
38.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify124.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0353839
11257766
24519747
35001744

prune256.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes253.0ms

Accuracy

0% (1.5b remaining)

Error of 2.5b against oracle of 1.1b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample1.8s

Algorithm
intervals
Results
592.0ms8000×body80valid
539.0ms7930×body80nan