Details

Time bar (total: 7.9s)

sample281.0ms

Algorithm
intervals
Results
13.0ms418×body80valid
7.0ms418×pre80true

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.0b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
22.0ms
(* m (- 1.0 m))
19.0ms
(/ (* m (- 1.0 m)) v)
94.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series119.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* m (- 1.0 m))
38.0ms
(/ (* m (- 1.0 m)) v)
41.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0389602
11946551
25003545

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.1b
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
27×add-sqr-sqrt
23×flip3-- *-un-lft-identity flip--
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l/
14×associate-*r/
13×pow1
12×flip3-+ flip-+
11×add-cube-cbrt
9×associate-*l*
8×sqrt-prod
6×prod-exp cbrt-unprod difference-of-squares
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×sub-neg distribute-lft-out-- add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 135
Calls
4 calls:
21.0ms
(* m (- 1.0 m))
16.0ms
(/ (* m (- 1.0 m)) v)
146.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
99.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* m (- 1.0 m))
33.0ms
(/ (* m (- 1.0 m)) v)
119.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
126.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify41.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08551758
150021540

prune684.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (sqrt 1.0) (sqrt m)))
0.1b
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m)))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m))))
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))

rewrite782.0ms

Algorithm
rewrite-expression-head
Rules
168×frac-times
152×sqrt-div
84×associate-*l/
76×flip3-+ flip-+
66×flip3-- flip--
36×associate-*r/
29×*-un-lft-identity
28×sqrt-prod
26×add-sqr-sqrt
25×associate-*r*
21×pow1
20×add-exp-log add-cbrt-cube
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×distribute-lft-out
5×difference-of-squares
4×add-log-exp
3×*-commutative distribute-lft-out--
2×distribute-rgt-in sub-neg distribute-lft-in unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 211
Calls
4 calls:
14.0ms
(sqrt (+ (sqrt 1.0) (sqrt m)))
500.0ms
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m)))) (- (sqrt 1.0) (sqrt m)))
151.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m))))
101.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (+ (sqrt 1.0) (sqrt m)))
121.0ms
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m)))) (- (sqrt 1.0) (sqrt m)))
131.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (sqrt (+ (sqrt 1.0) (sqrt m))))
345.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))

simplify77.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013445602
150014995

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- (pow 1.0 3) (pow m 3)))
0.0b
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.0b
(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
0.5b
(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

rewrite533.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
33×associate-*r*
24×*-un-lft-identity
22×add-exp-log add-cbrt-cube
18×difference-of-squares
12×unpow-prod-down cube-prod
11×associate-*l*
10×pow1 add-cube-cbrt
8×flip3-- flip-- sqr-pow
7×prod-exp cbrt-unprod distribute-lft-out--
6×associate-*r/ associate-*l/
4×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in div-exp add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×difference-cubes frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 125
Calls
4 calls:
77.0ms
(* m (- (pow 1.0 3) (pow m 3)))
41.0ms
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
358.0ms
(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
53.0ms
(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

series299.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* m (- (pow 1.0 3) (pow m 3)))
35.0ms
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
82.0ms
(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))
93.0ms
(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

simplify123.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07021563
139631382
250011382

prune606.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample834.0ms

Algorithm
intervals
Results
391.0ms13732×body80valid
213.0ms13732×pre80true