Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 22.7b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.8b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
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` `distribute-lft-out` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
7.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
11.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series428.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
53.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
118.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify73.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	534	840
1	2452	738
2	5003	738

prune221.0ms

Filtered

91 candidates to 65 candidates (71.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.8b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite47.0ms

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:

4.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
7.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
17.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series440.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
119.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify72.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	554	1187
1	2427	1075
2	5001	1075

prune254.0ms

Filtered

108 candidates to 82 candidates (75.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
16.9b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
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` `distribute-lft-out` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

23.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
7.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
16.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
15.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series437.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
65.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify98.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	740	2166
1	3239	2054
2	5001	2052

prune384.0ms

Filtered

153 candidates to 123 candidates (80.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	153	5	158

Merged error: 0b

Counts

158 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))))
0.1b	(/ (/ 101.23733352003816 z) z)
0.2b	(* 15.646356830292035 (/ 1 z))
4.5b	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
74×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`add-cbrt-cube` `associate-/l*`
13×	`associate-r`
7×	`associate-/r*` `div-inv`
6×	`pow1` `div-exp` `add-log-exp`
5×	`cbrt-undiv` `distribute-lft-out`
4×	`prod-exp` `associate-/r/`
3×	`associate-l` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `cbrt-unprod` `flip-+`
1×	`+-commutative` `rec-exp` `flip3--` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip--` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

24.0ms	(+ x (/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))))
7.0ms	(/ (/ 101.23733352003816 z) z)
8.0ms	(* 15.646356830292035 (/ 1 z))
17.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ x (/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))))
24.0ms	(/ (/ 101.23733352003816 z) z)
16.0ms	(* 15.646356830292035 (/ 1 z))
74.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	757	1180
1	2997	1093
2	5001	1074

prune301.0ms

Filtered

165 candidates to 115 candidates (69.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	5	170

Merged error: 0b

Counts

170 → 5

regimes117.0ms

Accuracy

98.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 15.8b

bsearch122.0ms

Steps

Iters	Range		Point
8	6.042829624826513e-05	0.09081442282169057	0.08953599064961001
6	-6.3673588981895644e+122	-1.5316288223467559e+122	-2.7755457232333454e+122

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	15
1	46	15

end0.0ms

sample569.0ms

Algorithm

intervals

Results

402.0ms

8000×

body

valid

Details

sample25.0ms

simplify63.0ms

prune3.0ms

localize18.0ms

rewrite48.0ms

series428.0ms

simplify73.0ms

prune221.0ms

localize13.0ms

rewrite47.0ms

series440.0ms

simplify72.0ms

prune254.0ms

localize18.0ms

rewrite68.0ms

series437.0ms

simplify98.0ms

prune384.0ms

localize11.0ms

rewrite61.0ms

series182.0ms

simplify76.0ms

prune301.0ms

regimes117.0ms

bsearch122.0ms

simplify1.0ms

end0.0ms

sample569.0ms

Profiling