Details

Time bar (total: 9.0s)

sample43.0ms

Algorithm
intervals
Results
13.0ms61×body640valid
8.0ms145×body80valid
5.0ms33×body320valid
2.0ms17×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
43×times-frac
40×add-sqr-sqrt
25×distribute-lft-out--
20×add-cube-cbrt
8×difference-of-squares
6×distribute-lft-out
5×associate-/r*
4×add-cbrt-cube add-exp-log associate-/r/ add-log-exp
3×div-inv flip-- associate-/l*
2×pow1 flip3--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp frac-sub flip-+
Counts
2 → 69
Calls
2 calls:
17.0ms
(/ 1.0 (- x 1.0))
134.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series304.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1.0 (- x 1.0))
264.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify725.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21229
1331
0144

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (+ 1.0 x))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.9b
(- x (+ 1.0 (+ 1.0 x)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-log-exp
14×add-sqr-sqrt
12×times-frac add-cube-cbrt
6×sum-log distribute-lft-out
5×add-cbrt-cube add-exp-log difference-of-squares
4×associate-/r*
3×pow1 diff-log associate-/l* distribute-lft-out--
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative associate-+r+ clear-num sub-neg frac-2neg flip3-+ div-exp flip-+ div-inv associate--r+
Counts
3 → 67
Calls
3 calls:
25.0ms
(+ 1.0 (+ 1.0 x))
18.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
50.0ms
(- x (+ 1.0 (+ 1.0 x)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ 1.0 (+ 1.0 x))
89.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.0ms
(- x (+ 1.0 (+ 1.0 x)))

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5001
21929
1363
0139

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×*-un-lft-identity add-cube-cbrt
18×associate-*l*
10×associate-*r*
9×add-cbrt-cube add-exp-log
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod div-inv flip-- add-log-exp unswap-sqr
1×clear-num neg-mul-1 frac-2neg pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
68.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
24.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
60.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5000
22702
1480
0158

prune397.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* (cbrt 1.0) (- 2.0)) (- x 1.0))
0.1b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (* (cbrt 1.0) (- 2.0)) (- x 1.0)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
33×add-cbrt-cube
18×add-sqr-sqrt
16×*-un-lft-identity prod-exp cbrt-unprod
15×times-frac
14×cbrt-undiv div-exp
11×associate-*r*
10×associate-*l*
8×add-cube-cbrt
6×associate-/r/
5×associate-/r*
4×pow1
3×distribute-rgt-neg-out div-inv distribute-lft-out-- difference-of-squares
2×flip3-- distribute-frac-neg flip-- add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ distribute-lft-out associate-/l*
Counts
2 → 82
Calls
2 calls:
27.0ms
(/ (* (cbrt 1.0) (- 2.0)) (- x 1.0))
74.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (* (cbrt 1.0) (- 2.0)) (- x 1.0)))

series289.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ (* (cbrt 1.0) (- 2.0)) (- x 1.0))
165.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (* (cbrt 1.0) (- 2.0)) (- x 1.0)))

simplify1.9s

Counts
88 → 88
Iterations
IterNodes
done5002
23924
1617
0180

prune317.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done35
635
533
431
328
223
117
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
461.0ms1944×body640valid
228.0ms4143×body80valid
148.0ms1286×body320valid
83.0ms627×body160valid