Details

Time bar (total: 3.7s)

sample279.0ms

Algorithm
intervals
Results
11.0ms429×body80valid
6.0ms429×pre80true

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21126
33936
413446
540726
650016

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
12×add-exp-log add-cbrt-cube
10×associate-*r*
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×frac-times sub-neg
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u 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 → 125
Calls
3 calls:
12.0ms
(* m (- 1.0 m))
66.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms
(/ (* m (- 1.0 m)) v)

series132.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* m (- 1.0 m))
35.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
50.0ms
(/ (* m (- 1.0 m)) v)

simplify76.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05001273
12527968
25002962

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite98.0ms

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 expm1-log1p-u associate-*r/ div-exp frac-add log1p-expm1-u 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 fma-def flip3-+ unsub-neg pow-prod-down sum-log *-commutative flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 103
Calls
4 calls:
23.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
10.0ms
(/ (* m (- 1.0 m)) v)
11.0ms
(/ (* m (- 1.0 m)) v)
51.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series150.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
36.0ms
(/ (* m (- 1.0 m)) v)
35.0ms
(/ (* m (- 1.0 m)) v)
38.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify72.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05291005
12584882
25001862

prune267.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
0.0b
(/ (* m (- 1.0 m)) v)
11.1b
(/ (pow m 3) v)
13.7b
(/ (pow m 2) v)

rewrite43.0ms

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*
8×div-exp sqr-pow
6×add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u cube-mult unpow3 log1p-expm1-u unpow2
3×frac-2neg clear-num div-inv
2×pow-to-exp associate-*r/ pow-exp associate-/l/
1×+-commutative associate-+r+ flip3-- fma-def flip3-+ prod-exp sum-log flip-- cbrt-unprod flip-+ fma-udef
Counts
4 → 158
Calls
4 calls:
17.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
11.0ms
(/ (* m (- 1.0 m)) v)
6.0ms
(/ (pow m 3) v)
4.0ms
(/ (pow m 2) v)

series127.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (fma m 1.0 (- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))))
35.0ms
(/ (* m (- 1.0 m)) v)
25.0ms
(/ (pow m 3) v)
18.0ms
(/ (pow m 2) v)

simplify88.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0554971
12756876
25002850

prune445.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (pow m 2) (/ m v)) (* 1.0 (/ (pow m 2) v)))
0.0b
(/ (* m (- 1.0 m)) v)
2.1b
(* (pow m 2) (/ m v))
13.7b
(/ (pow m 2) v)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
27×add-exp-log
17×unpow-prod-down
16×add-cbrt-cube
13×associate-*r*
9×associate-/l*
8×div-exp associate-*l* unswap-sqr
7×associate-*r/ prod-exp unpow2 sqr-pow
6×associate-/r* add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u
3×pow-to-exp pow-exp cbrt-unprod div-inv
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×sub-neg fma-neg diff-log prod-diff *-commutative frac-sub sub-div
Counts
4 → 142
Calls
4 calls:
6.0ms
(- (* (pow m 2) (/ m v)) (* 1.0 (/ (pow m 2) v)))
11.0ms
(/ (* m (- 1.0 m)) v)
11.0ms
(* (pow m 2) (/ m v))
4.0ms
(/ (pow m 2) v)

series126.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* (pow m 2) (/ m v)) (* 1.0 (/ (pow m 2) v)))
36.0ms
(/ (* m (- 1.0 m)) v)
25.0ms
(* (pow m 2) (/ m v))
19.0ms
(/ (pow m 2) v)

simplify81.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0561829
12678715
25002705

prune435.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b 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
02818
12818

end0.0ms

sample719.0ms

Algorithm
intervals
Results
318.0ms13759×body80valid
180.0ms13759×pre80true