Details

Time bar (total: 3.5s)

sample281.0ms

Algorithm
intervals
Results
10.0ms410×body80valid
6.0ms410×pre80true

simplify80.0ms

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

rewrite40.0ms

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:
6.0ms
(* m (- 1.0 m))
8.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms
(/ (* m (- 1.0 m)) v)
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series161.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* m (- 1.0 m))
27.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms
(/ (* m (- 1.0 m)) v)
53.0ms
(* (- (/ (* 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

prune209.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
109×add-sqr-sqrt
93×*-un-lft-identity
63×add-cube-cbrt
21×associate-/r*
19×difference-of-squares
15×distribute-lft-out--
11×flip3-- flip--
10×add-exp-log add-cbrt-cube
9×associate-/r/
7×associate-*l*
5×pow1 associate-*r* div-inv add-log-exp
4×frac-times
3×cbrt-undiv sub-neg div-exp associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×frac-2neg diff-log pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 154
Calls
3 calls:
24.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
30.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms
(/ m (/ v (- 1.0 m)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
35.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
36.0ms
(/ m (/ v (- 1.0 m)))

simplify83.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06441408
131621354
250011352

prune359.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
17×*-un-lft-identity
16×associate-*l*
13×add-cube-cbrt
10×add-exp-log times-frac associate-*r* add-cbrt-cube
9×flip3-- flip--
7×pow1 sub-neg
6×distribute-rgt-in frac-times distribute-lft-in
5×add-log-exp
4×associate-*r/ associate--l+
3×associate-*l/ prod-exp cbrt-unprod unswap-sqr
2×pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
1×cbrt-undiv diff-log div-exp div-inv
Counts
3 → 90
Calls
3 calls:
7.0ms
(- (* (/ m v) (- 1.0 m)) 1.0)
9.0ms
(* (/ m v) (- 1.0 m))
13.0ms
(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series98.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (* (/ m v) (- 1.0 m)) 1.0)
36.0ms
(* (/ m v) (- 1.0 m))
37.0ms
(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0418711
11895650
25001650

prune191.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
0.1b
(/ m (/ v (- 1.0 m)))
0.7b
(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac
110×add-sqr-sqrt
98×*-un-lft-identity
66×add-cube-cbrt
25×associate-/r*
19×difference-of-squares
17×flip3-- flip--
16×add-exp-log add-cbrt-cube
14×distribute-lft-out--
11×associate-/r/
8×frac-times associate-/l/
7×associate-*l*
6×pow1 div-inv add-log-exp
5×cbrt-undiv div-exp
4×associate-*r/ associate-*r* associate-*l/ associate-/l*
3×sub-neg
2×distribute-rgt-in frac-2neg distribute-lft-in prod-exp clear-num cbrt-unprod distribute-lft-out
1×flip3-+ diff-log pow-prod-down *-commutative flip-+ unswap-sqr
Counts
4 → 186
Calls
4 calls:
25.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
9.0ms
(/ m (/ v (- 1.0 m)))
33.0ms
(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series160.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
41.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m)))
36.0ms
(/ m (/ v (- 1.0 m)))
61.0ms
(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify123.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08811963
146341826
250011826

prune486.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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
0106
1106

end0.0ms

sample705.0ms

Algorithm
intervals
Results
310.0ms13816×body80valid
181.0ms13816×pre80true