Details

sample72.0ms

Algorithm

intervals

Results

42.0ms

256×

body

valid

simplify548.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
26.7b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `times-frac` `pow-prod-down` `associate-/r` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

38.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
79.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
75.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
223.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series524.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
60.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
46.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
324.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify1.2s

Counts: 103 → 103

prune704.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

8.0b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
14.2b	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
14.4b	(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
21.2b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite809.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
108×	`times-frac`
95×	`*-un-lft-identity`
69×	`add-cube-cbrt`
63×	`sqrt-prod`
36×	`associate-l`
24×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 205

Calls

4 calls:

65.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
82.0ms	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
498.0ms	(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
154.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series1.3s

Counts

4 → 12

Calls

4 calls:

387.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
167.0ms	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
349.0ms	(* (/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))
438.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify1.4s

Counts: 217 → 217

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
26.7b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606))

rewrite814.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-/l/`
7×	`flip3-+` `flip-+`
6×	`cbrt-div`
4×	`pow1` `frac-times` `add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `associate-/r*` `flip--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

23.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
21.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
26.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
742.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606))

series852.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
170.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
175.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
325.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606))

simplify1.1s

Counts: 82 → 82

prune693.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
18.4b	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
26.9b	(* (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (/ 1 (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`frac-times` `add-cbrt-cube`
15×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/` `prod-exp`
10×	`flip3-+` `flip-+`
9×	`pow1` `cbrt-prod` `times-frac`
6×	`cbrt-div` `flip3--` `flip--` `cbrt-unprod`
5×	`associate-*r/`
4×	`div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/`
1×	`associate-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

25.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
19.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
19.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
1.4s	(* (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (/ 1 (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606)))

series861.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
161.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
178.0ms	(cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))
338.0ms	(* (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (/ 1 (+ (* (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894))) (* (cbrt (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894)) x)) 47.066876606)))

simplify1.8s

Counts: 107 → 107

prune864.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes359.0ms

Accuracy

97.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 24.9b

bsearch380.0ms

Steps

Iters	Range		Point
7	1.802026791961616e+61	2.343630355969629e+63	4.720269174859225e+62
9	-5.0018255993305455e+68	-5.662217552545424e+62	-5.741693258524663e+62

simplify698.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

8007×

body

valid