Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune3.0ms

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: 2.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

4.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* 1.1283791670955126 (exp z))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4706	430
3	5001	430

prune100.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 1.7b

Counts

69 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

12.0ms	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
25.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
27.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
26.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	372	1008
1	1060	917
2	3705	895
3	5002	886

prune182.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	6	86

Merged error: 1.7b

Counts

86 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
6.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

16.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
25.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
29.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
26.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	530	1143
1	1737	982
2	5001	939

prune182.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	80	6	86

Merged error: 1.7b

Counts

86 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
0.0b	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
0.1b	(* 0.5641895835477563 (pow z 2))
4.7b	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-log-exp`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `sum-log` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate-/r` `flip-+` `associate-/l`
2×	`+-commutative` `associate-/r/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
6.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
5.0ms	(* 0.5641895835477563 (pow z 2))
7.0ms	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)
3.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
3.0ms	(* 0.5641895835477563 (pow z 2))
18.0ms	(/ y (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	378	643
1	1459	593
2	5001	591

prune127.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	92	6	98

Merged error: 1.7b

Counts

98 → 6

regimes353.0ms

Accuracy

0% (0.8b remaining)

Error of 3.1b against oracle of 2.3b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample610.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid

Details

sample23.0ms

simplify4.0ms

prune3.0ms

localize8.0ms

rewrite16.0ms

series38.0ms

simplify156.0ms

prune100.0ms

localize13.0ms

rewrite27.0ms

series159.0ms

simplify92.0ms

prune182.0ms

localize19.0ms

rewrite31.0ms

series130.0ms

simplify50.0ms

prune182.0ms

localize10.0ms

rewrite24.0ms

series29.0ms

simplify47.0ms

prune127.0ms

regimes353.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample610.0ms

Profiling