Details

Time bar (total: 3.7s)

sample283.0ms

Algorithm
intervals
Results
11.0ms434×body80valid
7.0ms434×pre80true

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite42.0ms

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:
7.0ms
(* m (- 1.0 m))
17.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
11.0ms
(/ (* m (- 1.0 m)) v)

series144.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* m (- 1.0 m))
37.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
57.0ms
(/ (* m (- 1.0 m)) v)

simplify76.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05001273
12527968
25002962

prune213.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
130×add-sqr-sqrt
121×*-un-lft-identity
85×add-cube-cbrt
26×associate-/r*
20×difference-of-squares
18×prod-diff distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in flip3-- distribute-lft-in associate-/r/ flip--
7×associate-*l*
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg frac-2neg associate-*r/ associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 199
Calls
3 calls:
6.0ms
(/ v (- 1.0 m))
9.0ms
(/ m (/ v (- 1.0 m)))
36.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series113.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ v (- 1.0 m))
37.0ms
(/ m (/ v (- 1.0 m)))
41.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify115.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07741889
140241694
250011693

prune419.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 m))
0.0b
(/ m (* v (/ 1 (- 1.0 m))))
0.0b
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))
0.1b
(* v (/ 1 (- 1.0 m)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
59×*-un-lft-identity
40×add-cube-cbrt
35×times-frac
34×add-exp-log
26×associate-*r*
22×add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in div-exp
9×pow1 prod-exp distribute-lft-out-- difference-of-squares
8×flip3-- associate-*l* flip--
6×cbrt-undiv associate-/r* associate-/r/ associate-/l*
5×cbrt-unprod
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u add-log-exp unswap-sqr
3×rec-exp 1-exp div-inv
2×sub-neg frac-2neg pow-prod-down associate-*l/ clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 172
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 m))
9.0ms
(/ m (* v (/ 1 (- 1.0 m))))
19.0ms
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))
13.0ms
(* v (/ 1 (- 1.0 m)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 m))
36.0ms
(/ m (* v (/ 1 (- 1.0 m))))
39.0ms
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- 1.0 m))
34.0ms
(* v (/ 1 (- 1.0 m)))

simplify99.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06871518
135921272
250011219

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ m (* v (/ 1 (- 1.0 m))))
0.1b
(* v (/ 1 (- 1.0 m)))
0.1b
(* v (/ 1 (- 1.0 m)))
0.1b
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- m))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
52×associate-*r*
46×*-un-lft-identity
39×add-exp-log
37×times-frac
30×add-cube-cbrt
25×add-cbrt-cube
13×prod-exp
11×div-exp associate-*l*
10×pow1
7×cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-undiv associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in rec-exp flip3-- distribute-rgt-neg-in 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative flip-- div-inv associate-/l*
2×associate-*l/
1×neg-mul-1 frac-2neg clear-num associate-/r* distribute-rgt-neg-out
Counts
4 → 153
Calls
4 calls:
9.0ms
(/ m (* v (/ 1 (- 1.0 m))))
11.0ms
(* v (/ 1 (- 1.0 m)))
11.0ms
(* v (/ 1 (- 1.0 m)))
19.0ms
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- m))

series148.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ m (* v (/ 1 (- 1.0 m))))
34.0ms
(* v (/ 1 (- 1.0 m)))
38.0ms
(* v (/ 1 (- 1.0 m)))
36.0ms
(* (- (/ m (* v (/ 1 (- 1.0 m)))) 1.0) (- m))

simplify71.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0518975
12595848
25002794

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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
096
196

end0.0ms

sample776.0ms

Algorithm
intervals
Results
347.0ms13925×body80valid
197.0ms13925×pre80true