Details

Time bar (total: 3.9s)

sample282.0ms

Algorithm
intervals
Results
11.0ms461×body80valid
7.0ms461×pre80true

simplify79.0ms

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 4 expressions with local error:

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

rewrite79.0ms

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:
9.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms
(* m (- 1.0 m))
6.0ms
(/ (* m (- 1.0 m)) v)
50.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series156.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms
(* m (- 1.0 m))
41.0ms
(/ (* m (- 1.0 m)) v)
46.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify58.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0400725
11959665
25002653

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 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)))
0.1b
(/ (* m (- 1.0 m)) v)
0.1b
(/ (* m (- 1.0 m)) v)
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite72.0ms

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)))
6.0ms
(/ (* m (- 1.0 m)) v)
9.0ms
(/ (* m (- 1.0 m)) v)
35.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series151.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
35.0ms
(/ (* m (- 1.0 m)) v)
39.0ms
(/ (* m (- 1.0 m)) v)
35.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify68.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0506961
12456840
25003827

prune236.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
0.1b
(/ (* m (- 1.0 m)) v)
8.9b
(/ (pow m 3) v)
11.9b
(/ (pow m 2) v)

rewrite142.0ms

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:
122.0ms
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
6.0ms
(/ (* m (- 1.0 m)) v)
5.0ms
(/ (pow m 3) v)
4.0ms
(/ (pow m 2) v)

series112.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
36.0ms
(/ (* m (- 1.0 m)) v)
24.0ms
(/ (pow m 3) v)
19.0ms
(/ (pow m 2) v)

simplify103.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0573913
12983834
25001807

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

11.6b
(sqrt (/ (pow m 2) v))
11.6b
(sqrt (/ (pow m 2) v))
11.9b
(/ (pow m 2) v)
11.9b
(/ (pow m 2) v)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
82×add-sqr-sqrt
68×add-cube-cbrt *-un-lft-identity
56×sqrt-prod
44×unpow-prod-down
16×associate-/l* unpow2 sqr-pow
14×add-exp-log
10×rem-sqrt-square
8×add-cbrt-cube
6×pow1 div-exp associate-/r*
4×div-inv add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg sqrt-pow1 pow1/2 sqrt-div pow-exp clear-num
Counts
4 → 184
Calls
4 calls:
5.0ms
(sqrt (/ (pow m 2) v))
5.0ms
(sqrt (/ (pow m 2) v))
4.0ms
(/ (pow m 2) v)
4.0ms
(/ (pow m 2) v)

series128.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (/ (pow m 2) v))
49.0ms
(sqrt (/ (pow m 2) v))
18.0ms
(/ (pow m 2) v)
19.0ms
(/ (pow m 2) v)

simplify46.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02761096
1959954
25001920

prune682.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b 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
02719
12719

end0.0ms

sample727.0ms

Algorithm
intervals
Results
320.0ms13714×body80valid
179.0ms13714×pre80true