Details

Time bar (total: 17.2s)

sample42.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms253×body80nan

simplify137.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
33.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
97.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.2s

Counts
99 → 99
Iterations
IterNodes
done5001
21541
1374
0144

prune453.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b
(* 6.0 (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
0.1b
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×clear-num frac-2neg
1×pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
4 → 258
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
13.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
66.0ms
(* 6.0 (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
20.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
86.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
100.0ms
(* 6.0 (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
70.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify2.2s

Counts
270 → 270
Iterations
IterNodes
done5000
24273
1903
0326

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
116×add-sqr-sqrt
106×times-frac
64×add-cube-cbrt
26×distribute-lft-out--
25×swap-sqr
20×add-cbrt-cube add-exp-log difference-of-squares
19×associate-*r* associate-*l*
11×pow1
10×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv associate-/r* div-exp associate-*l/ div-inv
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-- div-sub flip--
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 192
Calls
4 calls:
21.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
13.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
42.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
68.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
100.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
122.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
115.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify2.7s

Counts
204 → 204
Iterations
IterNodes
done5000
24286
1674
0207

prune1000.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(cbrt (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
0.1b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
113×add-sqr-sqrt
106×times-frac
63×add-cube-cbrt
25×swap-sqr distribute-lft-out--
20×cbrt-prod
19×associate-*r* associate-*l* difference-of-squares
18×add-cbrt-cube add-exp-log
11×pow1
6×div-inv
5×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u cbrt-div prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×frac-times pow1/3 associate-*l/ associate-*r/ associate-/l/
1×pow2 clear-num frac-2neg pow-plus flip3-- div-sub pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 177
Calls
4 calls:
14.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
7.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
20.0ms
(cbrt (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
62.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
328.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
294.0ms
(cbrt (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
104.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify2.9s

Counts
189 → 189
Iterations
IterNodes
done5000
24739
1782
0263

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.9s

Algorithm
intervals
Results
916.0ms7946×body80nan
597.0ms8000×body80valid