Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

363×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	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: 2.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.7b	(* (/ x y) (- z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

8.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
50.0ms	(* (/ x y) (- z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune159.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.7b	(* (/ x (cbrt y)) (- z t))
4.1b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (/ x (cbrt y)) (- z t))
18.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
168.0ms	(cbrt y)
176.0ms	(* (/ x (cbrt y)) (- z t))
82.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	688	1266
1	3362	978
2	5001	864

prune283.0ms

Filtered

153 candidates to 95 candidates (62.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	152	7	159

Merged error: 0b

Counts

159 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
2.0b	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))
2.4b	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
2.7b	(* (/ x (cbrt y)) (- z t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
40×	`frac-times` `associate-*r/`
35×	`add-sqr-sqrt`
34×	`distribute-rgt-in` `distribute-lft-in`
32×	`add-exp-log`
30×	`sqrt-div`
29×	`add-cbrt-cube`
27×	`*-un-lft-identity`
26×	`times-frac`
25×	`add-cube-cbrt`
20×	`pow1`
16×	`prod-exp` `cbrt-unprod`
14×	`sub-neg` `flip3--` `sqrt-prod` `flip--`
13×	`cbrt-prod`
11×	`associate-*l/`
10×	`pow-prod-down`
7×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt y)
31.0ms	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))
19.0ms	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
15.0ms	(* (/ x (cbrt y)) (- z t))

series796.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
113.0ms	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t))))
306.0ms	(* (sqrt (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x (cbrt y)) (- z t)))
201.0ms	(* (/ x (cbrt y)) (- z t))

simplify95.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	741	2132
1	3279	1759
2	5001	1673

prune440.0ms

Filtered

190 candidates to 128 candidates (67.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	190	7	197

Merged error: 0b

Counts

197 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
5.8b	(* x (/ (- z t) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

7.0ms	(+ (* x (/ (- z t) y)) t)
6.0ms	(/ (- z t) y)
10.0ms	(* x (/ (- z t) y))

series113.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x (/ (- z t) y)) t)
25.0ms	(/ (- z t) y)
50.0ms	(* x (/ (- z t) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	342	501
1	1379	468
2	5001	456

prune148.0ms

Filtered

96 candidates to 65 candidates (67.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	97	6	103

Merged error: 0b

Counts

103 → 6

regimes210.0ms

Accuracy

17.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch65.0ms

Steps

Iters	Range		Point
4	5.049853299162611e-92	8.662311011122453e-92	8.515468159734346e-92
9	-6.681514996074174e+59	-4.2440568605067906e+51	-1.550701810380407e+54

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	23
1	35	23

end0.0ms

sample588.0ms

Algorithm

intervals

Results

322.0ms

10612×

body

valid