Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

257×

body

valid

simplify38.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 26.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.0b	(/ (* (- 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))

rewrite65.0ms

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:

12.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
15.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
29.0ms	(/ (* (- 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))

series405.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
68.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
63.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
227.0ms	(/ (* (- 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))

simplify84.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	667	1310
1	3314	1141
2	5001	1141

prune411.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
23.2b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite64.0ms

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:

12.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
17.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
7.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series368.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x)
68.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
65.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
189.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify73.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	558	1335
1	2377	1212
2	5001	1212

prune382.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (* x 4.16438922228) 78.6994924154))
0.3b	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)
0.7b	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
23.2b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

4.0ms	(cbrt (+ (* x 4.16438922228) 78.6994924154))
7.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)
12.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
40.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series646.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ (* x 4.16438922228) 78.6994924154))
189.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)
138.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
197.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify85.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	788	2219
1	2867	2051
2	5001	2014

prune625.0ms

Filtered

128 candidates to 97 candidates (75.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Merged error: 0.0b

Counts

136 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
0.7b	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
0.8b	(* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))))
23.2b	(/ (+ (* (+ (* (+ (* (* (* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 241

Calls

4 calls:

12.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
12.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
19.0ms	(* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))))
223.0ms	(/ (+ (* (+ (* (+ (* (* (* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series649.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
144.0ms	(* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))
154.0ms	(* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))))
204.0ms	(/ (+ (* (+ (* (+ (* (* (* (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154)))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (cbrt (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) (cbrt (+ (* x 4.16438922228) 78.6994924154))))) (* (cbrt (+ (* x 4.16438922228) 78.6994924154)) x)) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify189.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	841	7203
1	2790	6877
2	5002	6716

prune1.1s

Filtered

253 candidates to 139 candidates (54.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	253	8	261

Merged error: 0.0b

Counts

261 → 8

regimes282.0ms

Accuracy

97.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 24.2b

bsearch315.0ms

Steps

Iters	Range		Point
8	1.9146868863369694e+40	8.46072542106281e+43	8.135709621492318e+42
7	-3.6812255128977664e+55	-1.5466263761655107e+53	-1.3699468350910168e+54

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	79
1	106	79
2	106	79

end0.0ms

sample834.0ms

Algorithm

intervals

Results

650.0ms

8012×

body

valid