Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	138	18
2	450	18
3	1597	18
4	5001	18

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
27.3b	(/ (* (- 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))

rewrite106.0ms

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:

18.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
13.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
52.0ms	(/ (* (- 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))

series573.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
256.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
41.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
241.0ms	(/ (* (- 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))

simplify89.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	664	1209
1	3268	1044
2	5001	1044

prune419.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
26.1b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

20.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
11.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
48.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series337.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
66.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
40.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
191.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	555	1234
1	2329	1115
2	5002	1109

prune395.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(/ 1 (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
26.1b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

10.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
46.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
47.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series436.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
46.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
197.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
130.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	713	3578
1	3355	3315
2	5002	3235

prune552.0ms

Filtered

167 candidates to 99 candidates (59.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.2b	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
22.5b	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
26.1b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
25×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt` `pow-prod-down` `associate-*l/`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+`
6×	`associate-/r*`
4×	`frac-times` `associate-r` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`flip3--` `frac-2neg` `pow-plus` `associate-r/` `clear-num` `-commutative` `flip--` `div-inv`
1×	`pow2` `swap-sqr` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

22.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
24.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
47.0ms	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

series638.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
35.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
110.0ms	(/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721))
452.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* (- (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (* 263.505074721 263.505074721)) x) (- (* (+ x 43.3400022514) x) 263.505074721)) 313.399215894) x) 47.066876606))

simplify104.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	761	2030
1	3546	1797
2	5002	1797

prune504.0ms

Filtered

130 candidates to 83 candidates (63.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

97.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 24.8b

bsearch201.0ms

Steps

Iters	Range		Point
9	1381441020977.7295	2.7511213928627524e+19	2.707463547423548e+19
3	-1.8928377695467786e+61	-1.5442358469082974e+61	-1.740324428392443e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	31
1	66	31
2	66	31

end0.0ms

sample670.0ms

Algorithm

intervals

Results

500.0ms

8008×

body

valid