Details

Time bar (total: 4.0s)

sample325.0ms

Algorithm
intervals
Results
10.0ms406×body80valid
6.0ms406×pre80true

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1406
21056
33546
411026
531896
650026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×times-frac prod-exp associate-/r* cbrt-unprod 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 → 83
Calls
3 calls:
21.0ms
(* m (- 1.0 m))
15.0ms
(/ (* m (- 1.0 m)) v)
84.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series136.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* m (- 1.0 m))
34.0ms
(/ (* m (- 1.0 m)) v)
55.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0389602
11946551
25003545

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
27×add-sqr-sqrt
23×flip3-- *-un-lft-identity flip--
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l/
14×associate-*r/
13×pow1
12×flip3-+ flip-+
11×add-cube-cbrt
9×associate-*l*
8×sqrt-prod
6×prod-exp cbrt-unprod difference-of-squares
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×sub-neg distribute-lft-out-- add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 135
Calls
4 calls:
19.0ms
(* m (- 1.0 m))
15.0ms
(/ (* m (- 1.0 m)) v)
132.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
91.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* m (- 1.0 m))
34.0ms
(/ (* m (- 1.0 m)) v)
121.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
127.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify41.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
08551758
150021540

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.1b
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b
(* (* m (- 1.0 m)) (/ 1 v))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
23×associate-*r*
22×add-sqr-sqrt
19×add-cbrt-cube
18×*-un-lft-identity
14×add-cube-cbrt prod-exp
12×pow1
9×flip3-- times-frac associate-*r/ flip--
8×cbrt-unprod
7×associate-*l*
6×frac-times
5×pow-prod-down
4×distribute-rgt-in sub-neg distribute-lft-in div-exp associate-*l/
3×*-commutative add-log-exp
2×cbrt-undiv rec-exp 1-exp distribute-lft-out-- difference-of-squares unswap-sqr
1×un-div-inv div-inv
Counts
3 → 100
Calls
3 calls:
20.0ms
(* m (- 1.0 m))
143.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
40.0ms
(* (* m (- 1.0 m)) (/ 1 v))

series112.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* m (- 1.0 m))
36.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
34.0ms
(* (* m (- 1.0 m)) (/ 1 v))

simplify77.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0514773
12789690
25001672

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
0.1b
(/ (* m (- 1.0 m)) v)
1.7b
(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×add-exp-log add-cbrt-cube
14×flip3-- flip--
12×add-cube-cbrt
10×associate-/l/
9×associate-*r*
8×pow1 frac-times associate-*r/ associate-*l*
7×times-frac associate-/r*
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×difference-of-squares
2×frac-2neg pow-prod-down clear-num associate-/r/ *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- unswap-sqr
1×flip3-+ flip-+
Counts
4 → 115
Calls
4 calls:
20.0ms
(* m (- 1.0 m))
85.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
15.0ms
(/ (* m (- 1.0 m)) v)
57.0ms
(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series174.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* m (- 1.0 m))
42.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
33.0ms
(/ (* m (- 1.0 m)) v)
57.0ms
(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify94.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06241153
134121019
250011013

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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
01712
11712

end0.0ms

sample737.0ms

Algorithm
intervals
Results
289.0ms13615×body80valid
160.0ms13615×pre80true