Details

Time bar (total: 15.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
done76

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
12.9b
(/ x (+ (* x x) 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
8.0ms
(+ (* x x) 1.0)
20.0ms
(/ x (+ (* x x) 1.0))

series141.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* x x) 1.0)
86.0ms
(/ x (+ (* x x) 1.0))

simplify3.1s

Counts
51 → 51
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
089580
1203497
2531448
31200448
43520448
done5000448

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1.0) x))
12.8b
(/ (fma x x 1.0) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
15.0ms
(/ 1 (/ (fma x x 1.0) x))
6.0ms
(/ (fma x x 1.0) x)

series236.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(/ 1 (/ (fma x x 1.0) x))
128.0ms
(/ (fma x x 1.0) x)

simplify3.8s

Counts
113 → 113
Iterations

Useful iterations: 3 (643.0ms)

IterNodesCost
01681655
13491433
27071254
316411236
436461236
done50001236

prune260.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1.0 x))
0.1b
(/ 1 (+ x (/ 1.0 x)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
6×add-exp-log
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 fma-def associate-/l*
2×expm1-log1p-u flip3-+ div-exp associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 56
Calls
2 calls:
22.0ms
(+ x (/ 1.0 x))
46.0ms
(/ 1 (+ x (/ 1.0 x)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ x (/ 1.0 x))
77.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify4.2s

Counts
62 → 62
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
087648
1195574
2458526
31133526
44073526
done5000526

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ x (- (pow x 4) (* 1.0 1.0)))
18.9b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
37×times-frac
26×add-cube-cbrt *-un-lft-identity
24×associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×prod-diff associate-/r*
5×distribute-rgt-in distribute-lft-in
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 103
Calls
2 calls:
25.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
138.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series341.0ms

Counts
2 → 6
Calls
2 calls:
195.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
146.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.9s

Counts
109 → 109
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02312101
15661956
217191793
done50001507

prune405.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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
067
197
done97

end0.0ms

sample566.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid