Details

Time bar (total: 38.1s)

sample74.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
17.0ms249×body80nan

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
2.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b
(/ (* 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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
21.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series343.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
179.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune587.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ t a))
0.6b
(cbrt (+ t a))
2.2b
(- (/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b
(/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
13×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×flip3-- flip--
8×cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt
6×cbrt-div flip3-+ associate-*r/ flip-+ associate--r+ add-log-exp
4×pow1
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1/3 sqrt-div associate-*l/ associate--l+ associate-/l/ distribute-lft-out
1×frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
2.0ms
(cbrt (+ t a))
2.0ms
(cbrt (+ t a))
22.0ms
(- (/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.0ms
(/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t)

series893.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (+ t a))
129.0ms
(cbrt (+ t a))
308.0ms
(- (/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
319.0ms
(/ (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09931568
150011484

prune870.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

3.9b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
4.2b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
6.4b
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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)))))
24.0b
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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))))

rewrite687.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×cbrt-div 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:
94.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
13.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
175.0ms
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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)))))
322.0ms
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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))))

series2.2s

Counts
4 → 12
Calls
4 calls:
183.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
55.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
1.0s
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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)))))
993.0ms
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ 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))))

simplify315.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (97.0ms)

IterNodesCost
0469225958
1500125720

prune6.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
3.9b
(* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
6.4b
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
24.0b
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
2884×associate-*l/
2718×associate-*r/
1808×frac-sub
1608×flip3-- flip--
1588×frac-times
750×cbrt-div sqrt-div
681×flip3-+ flip-+
500×associate-/l/
110×sub-div
59×add-exp-log add-cbrt-cube
45×pow1
36×prod-exp cbrt-unprod
30×pow-prod-down
16×distribute-rgt-in distribute-lft-in
9×sub-neg
8×associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×cbrt-undiv div-exp 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
Counts
4 → 1179
Calls
4 calls:
69.0ms
(* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
456.0ms
(* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
296.0ms
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
466.0ms
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series2.4s

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
188.0ms
(* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))
1.0s
(- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0)))))
1.0s
(/ (- (* (* (* (fabs (cbrt (+ t a))) z) (sqrt (cbrt (+ t a)))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify669.0ms

Algorithm
egg-herbie
Counts
1191 → 1191
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0500171920

prune18.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

17.6% (3.0b remaining)

Error of 3.2b against oracle of 0.2b and baseline of 3.8b

bsearch306.0ms

Steps
ItersRangePoint
8
4.309108836350723e-195
4.816544621779403e-191
3.222012087947266e-194
7
-1.4205522511861973e-242
-2.324297224787372e-244
-1.3988457469696705e-242

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07561
17561

end0.0ms

sample1.9s

Algorithm
intervals
Results
611.0ms8000×body80valid
582.0ms8050×body80nan