Details

Time bar (total: 9.1s)

sample279.0ms

Algorithm
intervals
Results
11.0ms447×body80valid
6.0ms447×pre80true

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
11613
24013
39913
426913
566113
6178713
7407613
done500013

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

rewrite62.0ms

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:
9.0ms
(* m (- 1.0 m))
6.0ms
(/ (* m (- 1.0 m)) v)
42.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series134.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* m (- 1.0 m))
37.0ms
(/ (* m (- 1.0 m)) v)
50.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify592.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
01471290
13871245
216131143
done50001143

prune179.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×*-un-lft-identity
13×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
5×pow1 associate-*r* add-log-exp
4×distribute-lft-neg-out frac-times
3×associate-/r* associate-/l* difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ div-sub associate-*r/ unsub-neg associate-*l/ flip-+ associate-/l/ distribute-lft-out--
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 79
Calls
3 calls:
2.0ms
(+ (* m 1.0) (* (- m) m))
9.0ms
(/ (+ (* m 1.0) (* (- m) m)) v)
78.0ms
(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))

series137.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (* m 1.0) (* (- m) m))
47.0ms
(/ (+ (* m 1.0) (* (- m) m)) v)
35.0ms
(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify533.0ms

Counts
88 → 88
Iterations

Useful iterations: done (531.0ms)

IterNodesCost
01571720
14051562
215261245
done50001242

prune196.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite162.0ms

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:
9.0ms
(* m (- 1.0 m))
6.0ms
(/ (* m (- 1.0 m)) v)
75.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
65.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* m (- 1.0 m))
39.0ms
(/ (* m (- 1.0 m)) v)
128.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
136.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.4s

Counts
147 → 147
Iterations

Useful iterations: 2 (402.0ms)

IterNodesCost
02643636
18513103
242082854
done50012854

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×associate-*r*
16×*-un-lft-identity
14×add-exp-log
13×add-cube-cbrt
11×times-frac
10×add-cbrt-cube
7×pow1
6×frac-times flip3-- associate-*l* flip--
5×prod-exp add-log-exp
4×associate-*l/ unswap-sqr
3×flip3-+ associate-*r/ cbrt-unprod flip-+
2×distribute-lft-neg-out distribute-rgt-in sub-neg distribute-lft-in div-exp pow-prod-down *-commutative
1×cbrt-undiv +-commutative rec-exp 1-exp unsub-neg sum-log un-div-inv div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 85
Calls
3 calls:
2.0ms
(+ (* m 1.0) (* (- m) m))
34.0ms
(* (- (* (+ (* m 1.0) (* (- m) m)) (/ 1 v)) 1.0) (- 1.0 m))
14.0ms
(* (+ (* m 1.0) (* (- m) m)) (/ 1 v))

series137.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (* m 1.0) (* (- m) m))
39.0ms
(* (- (* (+ (* m 1.0) (* (- m) m)) (/ 1 v)) 1.0) (- 1.0 m))
45.0ms
(* (+ (* m 1.0) (* (- m) m)) (/ 1 v))

simplify709.0ms

Counts
94 → 94
Iterations

Useful iterations: done (707.0ms)

IterNodesCost
01791951
14841600
218641237
done50011232

prune179.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
11721
done1721

end0.0ms

sample701.0ms

Algorithm
intervals
Results
321.0ms13788×body80valid
171.0ms13788×pre80true