Details

Time bar (total: 4.1s)

sample279.0ms

Algorithm
intervals
Results
10.0ms422×body80valid
6.0ms422×pre80true

simplify82.0ms

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)
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite74.0ms

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:
9.0ms
(* m (- 1.0 m))
6.0ms
(/ (* m (- 1.0 m)) v)
55.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series132.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* m (- 1.0 m))
42.0ms
(/ (* m (- 1.0 m)) v)
46.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0389602
11946551
25003545

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×associate-*l*
10×pow1 add-cube-cbrt associate-*r/
8×flip3-- flip--
7×prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×cbrt-undiv frac-times sub-neg div-exp add-log-exp
3×pow-prod-down *-commutative difference-of-squares unswap-sqr
2×flip3-+ associate-*l/ associate-/r/ flip-+ associate-/l/ distribute-lft-out--
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 107
Calls
4 calls:
9.0ms
(* v (+ 1.0 m))
10.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
64.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
10.0ms
(* m (- (* 1.0 1.0) (* m m)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* v (+ 1.0 m))
73.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
61.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
70.0ms
(* m (- (* 1.0 1.0) (* m m)))

simplify99.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05741110
13497973
25001973

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* v (+ 1.0 m))
0.0b
(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))
0.1b
(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt associate-*r*
8×associate-*l*
7×pow1 flip3-- flip--
6×associate-*r/
4×frac-times times-frac associate-/l*
3×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod add-log-exp
2×cbrt-undiv sub-neg distribute-rgt-out-- flip3-+ unpow3 div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative flip-+ associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv distribute-lft-out
Counts
3 → 85
Calls
3 calls:
9.0ms
(* v (+ 1.0 m))
17.0ms
(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))
148.0ms
(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series162.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* v (+ 1.0 m))
68.0ms
(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))
58.0ms
(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify65.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0481881
12421807
25001807

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
25×add-exp-log add-cbrt-cube
23×add-sqr-sqrt flip3-- flip--
19×*-un-lft-identity
18×associate-*r*
16×associate-*r/ associate-*l/
13×pow1 flip3-+ flip-+
9×add-cube-cbrt associate-*l* prod-exp cbrt-unprod
8×sqrt-prod
6×difference-of-squares
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×cbrt-undiv sub-neg div-exp add-log-exp
3×*-commutative distribute-lft-out--
2×associate-/r/ associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 136
Calls
4 calls:
10.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
11.0ms
(* m (- (* 1.0 1.0) (* m m)))
99.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
75.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
72.0ms
(* m (- (* 1.0 1.0) (* m m)))
160.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
174.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify51.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09972550
150012264

prune446.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample711.0ms

Algorithm
intervals
Results
316.0ms13672×body80valid
170.0ms13672×pre80true