Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune8.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.4b	(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series225.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
195.0ms	(fma (/ y (- a t)) (- z t) x)

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune139.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
12.0b	(* (/ y (- a t)) (- z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

13.0ms	(+ (* (/ y (- a t)) (- z t)) x)
5.0ms	(/ y (- a t))
13.0ms	(* (/ y (- a t)) (- z t))

series421.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(+ (* (/ y (- a t)) (- z t)) x)
30.0ms	(/ y (- a t))
163.0ms	(* (/ y (- a t)) (- z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	566	1124
1	2255	891
2	5001	883

prune509.0ms

Filtered

154 candidates to 107 candidates (69.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	5	1	6
Picked	0	1	1
Done	0	0	0
Total	157	4	161

Merged error: 0.0b

Counts

161 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (- a t)) (- z t)))
4.2b	(* (/ (cbrt y) (- a t)) (- z t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
66×	`add-exp-log`
62×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
43×	`associate-l`
35×	`times-frac` `add-cbrt-cube`
33×	`prod-exp`
22×	`cbrt-prod`
20×	`cbrt-unprod`
18×	`div-exp`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`sub-neg` `1-exp` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative` `div-inv`

Counts

4 → 211

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
20.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (- a t)) (- z t)))
16.0ms	(* (/ (cbrt y) (- a t)) (- z t))

series1.1s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt y)
190.0ms	(cbrt y)
197.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) (- a t)) (- z t)))
529.0ms	(* (/ (cbrt y) (- a t)) (- z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1043	2786
1	5001	1899

prune436.0ms

Filtered

223 candidates to 122 candidates (54.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	223	4	227

Merged error: 0.0b

Counts

227 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

11.0ms	(+ (* y (/ (- z t) (- a t))) x)
9.0ms	(/ (- z t) (- a t))
18.0ms	(* y (/ (- z t) (- a t)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* y (/ (- z t) (- a t))) x)
52.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	435	778
1	1689	734
2	5002	734

prune248.0ms

Filtered

129 candidates to 90 candidates (69.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes173.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample555.0ms

Algorithm

intervals

Results

276.0ms	8763×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample22.0ms

simplify58.0ms

prune8.0ms

localize11.0ms

rewrite8.0ms

series225.0ms

simplify99.0ms

prune139.0ms

localize12.0ms

rewrite38.0ms

series421.0ms

simplify71.0ms

prune509.0ms

localize13.0ms

rewrite50.0ms

series1.1s

simplify57.0ms

prune436.0ms

localize8.0ms

rewrite42.0ms

series216.0ms

simplify51.0ms

prune248.0ms

regimes173.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample555.0ms

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