Details

Time bar (total: 4.3s)

sample355.0ms

Algorithm
intervals
Results
10.0ms408×body80valid
6.0ms408×pre80true

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1345
2675
31695
43455
54665
66705
710145
815285
921175
1030375
1150015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.1b
(/ (* m (- 1.0 m)) v)
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 71
Calls
3 calls:
20.0ms
(* m (- 1.0 m))
15.0ms
(/ (* m (- 1.0 m)) v)
71.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series137.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* m (- 1.0 m))
38.0ms
(/ (* m (- 1.0 m)) v)
50.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0310409
11511363
25001357

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.1b
(/ v (* m (- 1.0 m)))
0.2b
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b
(/ 1 (/ v (* m (- 1.0 m))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
41×add-sqr-sqrt
34×add-exp-log *-un-lft-identity
28×add-cube-cbrt
22×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-*l* associate-/r/
10×associate-/r*
9×pow1
8×associate-*r*
7×cbrt-undiv flip3-- flip-- div-inv
6×prod-exp associate-/l*
4×cbrt-unprod add-log-exp difference-of-squares
3×rec-exp 1-exp distribute-lft-out--
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative unswap-sqr
1×pow-flip inv-pow
Counts
4 → 138
Calls
4 calls:
21.0ms
(* m (- 1.0 m))
11.0ms
(/ v (* m (- 1.0 m)))
192.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
22.0ms
(/ 1 (/ v (* m (- 1.0 m))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* m (- 1.0 m))
41.0ms
(/ v (* m (- 1.0 m)))
52.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms
(/ 1 (/ v (* m (- 1.0 m))))

simplify68.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0522956
12623799
25001785

prune228.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 m) v)
0.2b
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.5b
(* m (/ (- 1.0 m) v))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/l*
3×prod-exp associate-/r* cbrt-unprod add-log-exp unswap-sqr
2×cbrt-undiv flip3-- div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num
Counts
3 → 96
Calls
3 calls:
15.0ms
(/ (- 1.0 m) v)
49.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
26.0ms
(* m (/ (- 1.0 m) v))

series109.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 m) v)
36.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
41.0ms
(* m (/ (- 1.0 m) v))

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0370577
11676528
25001522

prune195.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b
(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
0.2b
(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
0.5b
(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
50×times-frac
48×difference-of-squares
43×*-un-lft-identity
37×associate-*r*
36×unpow-prod-down cube-prod
25×associate-/l*
24×sqr-pow
22×add-exp-log add-cbrt-cube
15×distribute-lft-out--
13×add-cube-cbrt
10×pow1
9×associate-*l*
8×associate-*l/
7×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×difference-cubes flip3-+ pow-prod-down *-commutative flip-+ unswap-sqr
2×flip3-- flip-- div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num associate-/r*
Counts
4 → 161
Calls
4 calls:
38.0ms
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
72.0ms
(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
210.0ms
(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
132.0ms
(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
79.0ms
(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
97.0ms
(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
113.0ms
(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

simplify109.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06692002
134591784
250021784

prune408.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample769.0ms

Algorithm
intervals
Results
306.0ms13558×body80valid
165.0ms13558×pre80true