Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	64	10
2	143	10
3	288	10
4	443	10
5	563	10
6	648	10
7	817	10
8	1060	10
9	1066	10
10	1066	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.4b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

15.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
26.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
51.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
47.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series250.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
65.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
48.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
117.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	464	750
1	2206	639
2	5001	639

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
14.7b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

15.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
81.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
27.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
57.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series261.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
119.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
60.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
62.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify63.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	500	1100
1	2199	986
2	5001	986

prune315.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.4b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
14.7b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

15.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
29.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
241.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
52.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series249.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
61.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
109.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
58.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify87.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	670	2076
1	3009	1955
2	5001	1953

prune472.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
1.0b	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
14.7b	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

6.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
6.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
6.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
259.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series409.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
115.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
115.0ms	(cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))
60.0ms	(/ (+ (* (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968))) (* (cbrt (+ (* z 0.0692910599291889) 0.4917317610505968)) z)) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	442	1402
1	1577	1304
2	5001	1210

prune370.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch139.0ms

Steps

Iters	Range		Point
8	39684.63609624824	71269444.69622602	458842.02429531014
8	-2.0260175217475176e+30	-8.115669647949308e+25	-1.061330829675691e+27

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	60	28
1	60	28

end0.0ms

sample543.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid