Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	246×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	14×	body	320	valid
0.0ms	5×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1498	6
6	3410	6
7	5001	6

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 24.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- t x))
1.6b	(+ x (/ (* (- y z) (- t x)) (- a z)))
17.6b	(/ (* (- y z) (- t x)) (- a z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

9.0ms	(* (- y z) (- t x))
7.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
16.0ms	(/ (* (- y z) (- t x)) (- a z))

series350.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (- y z) (- t x))
164.0ms	(+ x (/ (* (- y z) (- t x)) (- a z)))
146.0ms	(/ (* (- y z) (- t x)) (- a z))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	466	583
1	2158	534
2	5001	534

prune456.0ms

Filtered

90 candidates to 67 candidates (25.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Merged error: 3.8b

Counts

91 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
1.7b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.0b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
37.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series900.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- a z))
183.0ms	(cbrt (- a z))
367.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
165.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify87.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	744	1831
1	3287	1663
2	5001	1576

prune1.0s

Filtered

146 candidates to 102 candidates (30.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	146	10	156

Merged error: 3.8b

Counts

156 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
0.8b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.6b	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
36×	`cbrt-div`
26×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
17×	`associate-l`
16×	`-un-lft-identity` `times-frac` `associate-r*` `associate-/r/`
15×	`prod-exp` `cbrt-unprod`
14×	`flip3--` `flip--`
13×	`cbrt-prod`
12×	`cbrt-undiv` `div-exp`
10×	`add-cube-cbrt`
9×	`frac-times`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
33.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
3.0ms	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series875.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- t x))
191.0ms	(cbrt (- t x))
320.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
176.0ms	(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify91.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	838	2470
1	3318	2130
2	5001	2090

prune1.2s

Filtered

122 candidates to 89 candidates (27.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	120	12	132

Merged error: 3.8b

Counts

132 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

2.1b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.1b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
2.1b	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
8.6b	(+ x (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (- a z))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
39×	`cbrt-div`
24×	`associate-/r/`
18×	`flip3--` `flip--`
16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`frac-times`
10×	`add-cube-cbrt`
6×	`associate-r/` `associate-l/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

13.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
13.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
12.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
3.0ms	(+ x (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (- a z))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

430.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
433.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
434.0ms	(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
179.0ms	(+ x (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (- a z))))))

simplify134.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	380	1823
1	1016	1656
2	4496	1614
3	5001	1614

prune692.0ms

Filtered

101 candidates to 83 candidates (17.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	8	9
Picked	1	0	1
Done	1	1	2
Total	102	11	113

Merged error: 2.8b

Counts

113 → 11

regimes754.0ms

Accuracy

23.7% (6.9b remaining)

Error of 10.4b against oracle of 3.5b and baseline of 12.6b

bsearch157.0ms

Steps

Iters	Range		Point
9	3.8886719770440146e+245	2.7507055571161092e+252	4.726817653349853e+246
10	-5.302117425332943e+161	-3.8084475184239363e+149	-1.1575962326504744e+160

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	58
1	41	58

end0.0ms

sample945.0ms

Algorithm

intervals

Results

281.0ms	7833×	body	80	valid
65.0ms	470×	body	640	valid
53.0ms	271×	body	1280	valid
37.0ms	363×	body	320	valid
20.0ms	287×	body	160	valid
3.0ms	12×	body	2560	valid

Details

sample36.0ms

simplify67.0ms

prune6.0ms

localize9.0ms

rewrite35.0ms

series350.0ms

simplify55.0ms

prune456.0ms

localize12.0ms

rewrite54.0ms

series900.0ms

simplify87.0ms

prune1.0s

localize22.0ms

rewrite47.0ms

series875.0ms

simplify91.0ms

prune1.2s

localize19.0ms

rewrite46.0ms

series1.5s

simplify134.0ms

prune692.0ms

regimes754.0ms

bsearch157.0ms

simplify2.0ms

end0.0ms

sample945.0ms

Profiling