Details

Time bar (total: 13.8s)

sample72.0ms

Algorithm
intervals
Results
20.0ms252×body80nan
18.0ms256×body80valid

simplify38.0ms

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: 2.5b

localize24.0ms

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)))))
3.7b
(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

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)))
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)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series334.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune588.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
3.7b
(/ (* z (sqrt (+ t a))) t)
39.0b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×frac-times
7×cube-div unpow-prod-down cbrt-div cube-prod
6×associate-*r/ associate--r+ add-log-exp
4×pow1 cbrt-undiv flip3-+ div-exp associate-/r* flip-+ div-inv associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×cube-mult pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 106
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
4.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series284.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 2.0 (* t 3.0))
172.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
72.0ms
(/ (* z (sqrt (+ t a))) t)
20.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010271349
150011297

prune625.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
3.7b
(/ (* z (sqrt (+ t a))) t)
39.3b
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down
21×add-exp-log
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
12×times-frac
8×pow-exp frac-sub
7×flip3-- cube-prod flip--
6×div-exp associate--r+ add-log-exp
4×pow1 cbrt-undiv frac-times associate-*r/ associate-/r* div-inv associate-/l*
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in prod-exp
2×pow-to-exp frac-2neg sqrt-div associate-*l/ associate--l+ clear-num cbrt-unprod associate-/l/ sqr-pow
1×cube-mult pow-pow flip3-+ unpow1/3 diff-log unpow3 flip-+
Counts
4 → 109
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
7.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series501.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 2.0 (* t 3.0))
183.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
79.0ms
(/ (* z (sqrt (+ t a))) t)
224.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify121.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010031163
148621011
250011011

prune579.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
4.4b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
6.0b
(- (* (* z (sqrt (+ 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)))))
25.5b
(/ (- (* (* z (sqrt (+ 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))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×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:
19.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
8.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
35.0ms
(- (* (* z (sqrt (+ 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)))))
63.0ms
(/ (- (* (* z (sqrt (+ 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))))

series1.5s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
53.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
582.0ms
(- (* (* z (sqrt (+ 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)))))
682.0ms
(/ (- (* (* z (sqrt (+ 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 (100.0ms)

IterNodesCost
0464124427
1500124209

prune5.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

31.8% (4.8b remaining)

Error of 5.3b against oracle of 0.6b and baseline of 7.6b

bsearch316.0ms

Steps
ItersRangePoint
7
2.839442541088967e-107
2.8179658008442964e-105
2.7731803138233924e-105
9
-4.394552466065474e-281
-1.0447675637075649e-287
-4.3353613956256024e-281

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07753
17753

end0.0ms

sample1.8s

Algorithm
intervals
Results
581.0ms8000×body80valid
564.0ms8094×body80nan