Details

Time bar (total: 25.6s)

sample40.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done7
27
16
04

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 38
Calls
1 calls:
45.0ms
(/ x (- 1.0 x))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ x (- 1.0 x))

simplify3.0s

Counts
41 → 41
Iterations
IterNodes
done5023
31371
2520
1178
083

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.1b
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
0.1b
(/ 1 (sqrt (- 1.0 x)))
0.1b
(/ x (sqrt (- 1.0 x)))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
118×times-frac
105×*-un-lft-identity
86×sqrt-prod
69×add-cube-cbrt
32×add-exp-log
30×associate-*r* associate-*l*
20×add-cbrt-cube
16×associate-/r*
15×distribute-lft-out-- difference-of-squares unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
6×cbrt-undiv associate-/l*
5×flip3-- flip--
4×cbrt-unprod insert-posit16 div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg sqrt-pow1 pow1/2
1×frac-times rem-sqrt-square pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 224
Calls
4 calls:
17.0ms
(sqrt (- 1.0 x))
196.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
32.0ms
(/ 1 (sqrt (- 1.0 x)))
37.0ms
(/ x (sqrt (- 1.0 x)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (- 1.0 x))
51.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
73.0ms
(/ 1 (sqrt (- 1.0 x)))
143.0ms
(/ x (sqrt (- 1.0 x)))

simplify4.3s

Counts
236 → 236
Iterations
IterNodes
done5001
22065
1748
0274

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 38
Calls
1 calls:
21.0ms
(/ x (- 1.0 x))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ x (- 1.0 x))

simplify3.4s

Counts
41 → 41
Iterations
IterNodes
done5023
31371
2520
1178
083

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize142.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (* (+ 1.0 x) (- 1.0 x))))
0.0b
(/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x)))
0.0b
(* (/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))
0.0b
(* (+ 1.0 x) (- 1.0 x))

rewrite827.0ms

Algorithm
rewrite-expression-head
Rules
612×times-frac
386×add-sqr-sqrt
356×*-un-lft-identity
313×sqrt-prod
252×add-cube-cbrt
202×associate-*l*
152×sqrt-div
148×associate-/r/
78×frac-times
59×flip3-+ flip3-- flip-+ flip--
50×distribute-lft-out-- difference-of-squares
40×associate-*r/
39×associate-*l/
27×associate-/l*
22×add-cbrt-cube add-exp-log
20×div-inv
12×associate-/r* associate-*r*
11×unswap-sqr
8×pow1
7×cbrt-undiv div-exp
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-prod-down *-commutative distribute-lft-out
1×associate-/l/
Counts
4 → 552
Calls
4 calls:
41.0ms
(/ x (sqrt (* (+ 1.0 x) (- 1.0 x))))
92.0ms
(/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x)))
445.0ms
(* (/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))
84.0ms
(* (+ 1.0 x) (- 1.0 x))

series621.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(/ x (sqrt (* (+ 1.0 x) (- 1.0 x))))
181.0ms
(/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x)))
43.0ms
(* (/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))
90.0ms
(* (+ 1.0 x) (- 1.0 x))

simplify4.1s

Counts
564 → 564
Iterations
IterNodes
done5000
11717
0676

prune4.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample994.0ms

Algorithm
intervals
Results
413.0ms8000×body80valid