Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

264×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

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: 19.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.0b	(/ (* y b) t)
4.0b	(/ (* y z) t)
15.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
14.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (* y z) t))
18.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune518.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	100	13	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	13	114

Merged error: 14.5b

Counts

114 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.8b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0b	(/ (* y z) t)
15.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`times-frac`
39×	`*-un-lft-identity`
32×	`add-exp-log`
31×	`add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `frac-add` `associate-/r*` `unswap-sqr`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-r/` `associate-l/`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow1/3` `pow-prod-down` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
15.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
47.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms	(/ (* y z) t)
132.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	785	1567
1	3974	1374
2	5001	1332

prune457.0ms

Filtered

144 candidates to 104 candidates (72.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	143	14	157

Merged error: 14.2b

Counts

157 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
1.3b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
4.0b	(/ (* y z) t)
15.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt`
97×	`times-frac`
92×	`add-exp-log`
65×	`cbrt-prod`
64×	`*-un-lft-identity`
56×	`add-cube-cbrt`
50×	`associate-l`
48×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
29×	`cbrt-undiv` `div-exp`
23×	`associate-r`
16×	`frac-times` `associate-*r/` `associate-/r/`
15×	`unswap-sqr`
14×	`frac-add`
11×	`pow1`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
6×	`associate-/r*`
5×	`div-inv` `associate-/l*`
4×	`pow-prod-down` `distribute-lft-out` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 225

Calls

4 calls:

22.0ms	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
22.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
5.0ms	(/ (* y z) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
25.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
18.0ms	(/ (* y z) t)
100.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1211	3264
1	5001	2887

prune788.0ms

Filtered

237 candidates to 168 candidates (70.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	236	1	237
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	237	14	251

Merged error: 14.2b

Counts

251 → 14

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
1.3b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
4.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
15.4b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
119×	`times-frac`
108×	`add-exp-log`
76×	`cbrt-prod`
68×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-l` `add-cbrt-cube`
45×	`associate-r`
44×	`prod-exp` `cbrt-unprod`
34×	`cbrt-undiv` `div-exp`
21×	`unswap-sqr`
17×	`frac-times` `associate-*r/`
16×	`associate-/r/`
14×	`frac-add`
13×	`pow1`
11×	`associate-*l/`
9×	`flip3-+` `flip-+`
6×	`div-inv`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num`

Counts

4 → 259

Calls

4 calls:

26.0ms	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
17.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
12.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (/ (cbrt y) (cbrt t)) (/ b (cbrt t)))
25.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))
46.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
269.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ b (cbrt t))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1463	3944
1	5002	3515

prune935.0ms

Filtered

271 candidates to 196 candidates (72.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	267	4	271
Fresh	0	11	11
Picked	1	0	1
Done	0	2	2
Total	268	17	285

Merged error: 14.1b

Counts

285 → 17

regimes645.0ms

Accuracy

54.8% (2.4b remaining)

Error of 12.8b against oracle of 10.4b and baseline of 15.7b

bsearch141.0ms

Steps

Iters	Range		Point
10	5.011139410589495e-43	1.217875452103804e-31	1.1996570356304082e-31
8	-1822035.3400642718	-125.43568699894571	-14924.766383889864

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	49
1	65	49

end0.0ms

sample732.0ms

Algorithm

intervals

Results

435.0ms

8257×

body

valid