Details

sample42.0ms

Algorithm

intervals

Results

10.0ms	242×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	11×	body	320	valid
1.0ms	9×	body	160	valid

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

Iter	Nodes	Cost
0	2838	13
1	2838	13

prune12.0ms

Filtered

1 candidates to 1 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: 5.8b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- a t))
2.5b	(* y (/ (- t z) (- a t)))
2.6b	(+ y (* y (/ (- t z) (- a t))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

10.0ms	(/ (- t z) (- a t))
15.0ms	(* y (/ (- t z) (- a t)))
3.0ms	(+ y (* y (/ (- t z) (- a t))))

series268.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- t z) (- a t))
18.0ms	(* y (/ (- t z) (- a t)))
239.0ms	(+ y (* y (/ (- t z) (- a t))))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5310	1356

prune166.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	114	10	124

Merged error: 3.2b

Counts

124 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- t z) (/ 1 (- a t)))
2.5b	(* y (* (- t z) (/ 1 (- a t))))
4.0b	(+ y (* y (* (- t z) (/ 1 (- a t)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

9.0ms	(/ 1 (- a t))
15.0ms	(* (- t z) (/ 1 (- a t)))
15.0ms	(* y (* (- t z) (/ 1 (- a t))))
4.0ms	(+ y (* y (* (- t z) (/ 1 (- a t)))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (- a t))
10.0ms	(* (- t z) (/ 1 (- a t)))
18.0ms	(* y (* (- t z) (/ 1 (- a t))))
26.0ms	(+ y (* y (* (- t z) (/ 1 (- a t)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5311	1274

prune157.0ms

Filtered

86 candidates to 142 candidates (-65.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	142	10	152

Merged error: 3.2b

Counts

152 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* y (/ (- t z) (- a t))))
4.8b	(cbrt (* y (/ (- t z) (- a t))))
4.8b	(cbrt (* y (/ (- t z) (- a t))))
13.1b	(+ y (* (* (cbrt (* y (/ (- t z) (- a t)))) (cbrt (* y (/ (- t z) (- a t))))) (cbrt (* y (/ (- t z) (- a t))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 41

Calls

4 calls:

10.0ms	(cbrt (* y (/ (- t z) (- a t))))
10.0ms	(cbrt (* y (/ (- t z) (- a t))))
10.0ms	(cbrt (* y (/ (- t z) (- a t))))
3.0ms	(+ y (* (* (cbrt (* y (/ (- t z) (- a t)))) (cbrt (* y (/ (- t z) (- a t))))) (cbrt (* y (/ (- t z) (- a t))))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (* y (/ (- t z) (- a t))))
48.0ms	(cbrt (* y (/ (- t z) (- a t))))
46.0ms	(cbrt (* y (/ (- t z) (- a t))))
37.0ms	(+ y (* (* (cbrt (* y (/ (- t z) (- a t)))) (cbrt (* y (/ (- t z) (- a t))))) (cbrt (* y (/ (- t z) (- a t))))))

simplify41.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4898	555
1	4898	555

prune96.0ms

Filtered

44 candidates to 53 candidates (-20.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	52	11	63

Merged error: 3.2b

Counts

63 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
4.0b	(+ y (* (* y (- t z)) (/ 1 (- a t))))
10.6b	(* (* y (- t z)) (/ 1 (- a t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
29×	`add-exp-log`
22×	`add-cube-cbrt`
21×	`associate-r`
17×	`add-cbrt-cube`
12×	`prod-exp`
9×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`div-exp` `cbrt-unprod`
5×	`associate-r/` `associate-/r` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-/l*`
2×	`frac-times` `associate-*l/` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `un-div-inv` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 102

Calls

3 calls:

6.0ms	(/ 1 (- a t))
4.0ms	(+ y (* (* y (- t z)) (/ 1 (- a t))))
16.0ms	(* (* y (- t z)) (/ 1 (- a t)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ 1 (- a t))
26.0ms	(+ y (* (* y (- t z)) (/ 1 (- a t))))
19.0ms	(* (* y (- t z)) (/ 1 (- a t)))

simplify36.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5128	1063

prune91.0ms

Filtered

63 candidates to 111 candidates (-76.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	7	8
Picked	0	1	1
Done	1	1	2
Total	111	11	122

Merged error: 3.2b

Counts

122 → 11

regimes658.0ms

Accuracy

18.1% (4.1b remaining)

Error of 7.5b against oracle of 3.4b and baseline of 8.5b

bsearch27.0ms

Steps

Iters	Range		Point
4	3.068084326862795e-12	5.691295351696058e-12	3.1179766003793916e-12
5	-2.0905344850362395e-22	-6.092576105087712e-23	-1.8190142657740654e-22

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	39
1	35	39

end0.0ms

sample1.1s

Algorithm

intervals

Results

312.0ms	7315×	body	80	valid
73.0ms	471×	body	640	valid
55.0ms	266×	body	1280	valid
52.0ms	413×	body	320	valid
20.0ms	252×	body	160	valid
3.0ms	13×	body	2560	valid

Details

sample42.0ms

simplify182.0ms

prune12.0ms

localize10.0ms

rewrite34.0ms

series268.0ms

simplify46.0ms

prune166.0ms

localize11.0ms

rewrite48.0ms

series59.0ms

simplify36.0ms

prune157.0ms

localize14.0ms

rewrite33.0ms

series177.0ms

simplify41.0ms

prune96.0ms

localize13.0ms

rewrite30.0ms

series49.0ms

simplify36.0ms

prune91.0ms

regimes658.0ms

bsearch27.0ms

simplify1.0ms

end0.0ms

sample1.1s

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