Details

Time bar (total: 5.0s)

sample281.0ms

Algorithm
intervals
Results
11.0ms426×body80valid
7.0ms426×pre80true

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
18×*-un-lft-identity
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r*
9×flip3-- flip--
8×pow1 associate-*l*
6×associate-*r/ add-log-exp
5×sub-neg
4×distribute-rgt-in frac-times distribute-lft-in distribute-lft-out-- difference-of-squares
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 97
Calls
4 calls:
10.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
10.0ms
(* m (- 1.0 m))
15.0ms
(/ (* m (- 1.0 m)) v)
45.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series156.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms
(* m (- 1.0 m))
41.0ms
(/ (* m (- 1.0 m)) v)
44.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify60.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0400725
11959665
25002653

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×associate-*r* associate-*l/
7×flip3-- flip--
6×pow1 times-frac associate-/r* add-log-exp
5×associate-*l*
4×cbrt-undiv associate-*r/ div-exp frac-add associate-/l/
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp distribute-rgt-neg-out cbrt-unprod
2×frac-2neg clear-num div-inv associate-/l*
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down sum-log *-commutative flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 94
Calls
4 calls:
19.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
8.0ms
(/ (* m (- 1.0 m)) v)
6.0ms
(/ (* m (- 1.0 m)) v)
36.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series156.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
37.0ms
(/ (* m (- 1.0 m)) v)
40.0ms
(/ (* m (- 1.0 m)) v)
36.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify71.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0506961
12456840
25003827

prune239.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* m (- 1.0 m)) v)
0.1b
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
8.3b
(/ (pow m 3) v)
12.5b
(/ (pow m 2) v)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
63×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×associate-/l*
19×add-exp-log
13×add-cbrt-cube
12×cube-prod
9×associate-/r* add-log-exp
8×div-exp sqr-pow
4×pow1 cbrt-undiv cube-mult unpow3 associate-*r/ unpow2
3×frac-2neg clear-num div-inv
2×pow-to-exp flip3-- diff-log pow-exp frac-sub flip-- associate-/l/
1×sub-neg flip3-+ prod-exp associate--l+ sum-log cbrt-unprod flip-+
Counts
4 → 153
Calls
4 calls:
6.0ms
(/ (* m (- 1.0 m)) v)
129.0ms
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
5.0ms
(/ (pow m 3) v)
4.0ms
(/ (pow m 2) v)

series113.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* m (- 1.0 m)) v)
37.0ms
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
21.0ms
(/ (pow m 3) v)
19.0ms
(/ (pow m 2) v)

simplify101.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0573913
12983834
25001807

prune419.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (+ (* 1.0 m) (/ (pow m (/ 3 2)) (/ v (pow m 3/2)))) (* 1.0 (/ (pow m 2) v)))
0.2b
(/ (pow m (/ 3 2)) (/ v (pow m 3/2)))
12.3b
(/ v (pow m 3/2))
12.5b
(/ (pow m 2) v)

rewrite506.0ms

Algorithm
rewrite-expression-head
Rules
388×times-frac
201×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
174×unpow-prod-down
58×sqr-pow
40×add-exp-log
35×associate-/r*
27×div-exp
18×associate-/l*
13×add-cbrt-cube
11×div-inv
9×pow-to-exp pow-exp add-log-exp
5×cbrt-undiv
4×pow1 unpow2
3×frac-2neg clear-num
2×diff-log associate-*r/ frac-sub
1×sub-neg flip3-- flip3-+ associate--l+ sum-log associate-/r/ flip-- flip-+
Counts
4 → 342
Calls
4 calls:
467.0ms
(- (+ (* 1.0 m) (/ (pow m (/ 3 2)) (/ v (pow m 3/2)))) (* 1.0 (/ (pow m 2) v)))
12.0ms
(/ (pow m (/ 3 2)) (/ v (pow m 3/2)))
3.0ms
(/ v (pow m 3/2))
4.0ms
(/ (pow m 2) v)

series238.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (+ (* 1.0 m) (/ (pow m (/ 3 2)) (/ v (pow m 3/2)))) (* 1.0 (/ (pow m 2) v)))
67.0ms
(/ (pow m (/ 3 2)) (/ v (pow m 3/2)))
79.0ms
(/ v (pow m 3/2))
19.0ms
(/ (pow m 2) v)

simplify68.0ms

Algorithm
egg-herbie
Counts
354 → 354
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013063262
150023002

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
02514
12514

end0.0ms

sample744.0ms

Algorithm
intervals
Results
338.0ms13668×body80valid
182.0ms13668×pre80true