Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

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: 1.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune121.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
9.9b	(cbrt (/ z t))
9.9b	(cbrt (/ z t))
9.9b	(cbrt (/ z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series316.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
65.0ms	(cbrt (/ z t))
63.0ms	(cbrt (/ z t))
66.0ms	(cbrt (/ z t))

simplify87.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	338	774
1	926	705
2	3350	693
3	5001	669

prune290.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
9.9b	(cbrt (/ z t))
9.9b	(cbrt (/ z t))
9.9b	(cbrt (/ z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt` `times-frac`
23×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
8×	`associate-l`
6×	`pow1/3` `associate-*r/`
5×	`pow-prod-down` `associate-*l/` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`prod-exp` `cbrt-unprod` `div-inv`
2×	`unswap-sqr`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

14.0ms	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series376.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (- y x)) (* (cbrt (/ z t)) (cbrt (/ z t))))
62.0ms	(cbrt (/ z t))
64.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))

simplify96.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	405	878
1	1014	830
2	3528	820
3	5002	789

prune347.0ms

Filtered

115 candidates to 89 candidates (77.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	114	11	125

Merged error: 0.0b

Counts

125 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
3.6b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
17.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
180.0ms	(cbrt t)
174.0ms	(cbrt t)
77.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune250.0ms

Filtered

106 candidates to 84 candidates (79.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	6	7
Picked	1	0	1
Done	0	3	3
Total	107	10	117

Merged error: 0.0b

Counts

117 → 10

regimes232.0ms

Accuracy

27.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.7b

bsearch54.0ms

Steps

Iters	Range		Point
4	8.50180759601064e-15	1.300586776622768e-14	1.0331582040161312e-14
7	-1.4348613029384832e-72	-2.924211053040754e-74	-6.1123310519439906e-74

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	16
1	33	16

end0.0ms

sample544.0ms

Algorithm

intervals

Results

284.0ms

10619×

body

valid