Details

Time bar (total: 25.3s)

sample139.0ms

Algorithm
intervals
Results
26.0ms437×body80valid
14.0ms437×pre80true

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0811
11611
23411
37211
418911
547511
6165011
done500011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×expm1-log1p-u flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg 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 → 95
Calls
3 calls:
49.0ms
(* m (- 1.0 m))
48.0ms
(/ (* m (- 1.0 m)) v)
182.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series256.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* m (- 1.0 m))
68.0ms
(/ (* m (- 1.0 m)) v)
90.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.4s

Counts
104 → 104
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01771426
14541229
222591046
done50001021

prune578.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite669.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
116×add-sqr-sqrt
107×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×associate-/r/
7×associate-*l*
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×frac-2neg associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 169
Calls
3 calls:
22.0ms
(/ v (- 1.0 m))
33.0ms
(/ m (/ v (- 1.0 m)))
597.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series205.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ v (- 1.0 m))
70.0ms
(/ m (/ v (- 1.0 m)))
69.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.9s

Counts
178 → 178
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02772586
17202442
237562313
done50002305

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
29×*-un-lft-identity
25×add-cube-cbrt
18×add-exp-log prod-diff add-cbrt-cube
17×associate-*r*
13×pow1
11×distribute-rgt-in distribute-lft-in
9×associate-*l*
7×sqrt-prod
6×associate-*l/ prod-exp cbrt-unprod
5×pow-prod-down
4×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u add-log-exp
3×times-frac associate-/r* *-commutative unswap-sqr
2×cbrt-undiv sub-neg div-exp associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 124
Calls
4 calls:
49.0ms
(* m (- 1.0 m))
44.0ms
(/ (* m (- 1.0 m)) v)
175.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
232.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series416.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* m (- 1.0 m))
86.0ms
(/ (* m (- 1.0 m)) v)
138.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
93.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify2.9s

Counts
136 → 136
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02222083
15861764
229121516
done50021470

prune786.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt m))
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m)))
0.4b
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
0.4b
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
25×add-sqr-sqrt
24×associate-*r*
22×pow1
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
2×rem-sqrt-square pow1/2
1×distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
5.0ms
(sqrt (sqrt m))
185.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m)))
817.0ms
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
256.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(sqrt (sqrt m))
155.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m)))
81.0ms
(* (* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m))) (sqrt m))
126.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (sqrt m))) (sqrt (sqrt m)))

simplify2.8s

Counts
121 → 121
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01942292
15461892
227511667
done50001538

prune650.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes425.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
done911

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.0s13742×pre80true
976.0ms13742×body80valid