Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

354×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune6.0ms

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: 2.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ x y) (- z t) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune38.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Merged error: 2.0b

Counts

15 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.3b	(* (/ x y) (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ x y) (- z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune205.0ms

Filtered

104 candidates to 69 candidates (66.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.7b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.8b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
22.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series443.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- z t))
148.0ms	(cbrt (- z t))
53.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
96.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify86.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	832	2341
1	2673	2121
2	5001	2060

prune438.0ms

Filtered

184 candidates to 114 candidates (62.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	183	7	190

Merged error: 0b

Counts

190 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) y)
0.0b	(+ (* x (/ (- z t) y)) t)
6.8b	(* x (/ (- z t) y))

rewrite28.0ms

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

Counts

3 → 94

Calls

3 calls:

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

series109.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- z t) y)
33.0ms	(+ (* x (/ (- z t) y)) t)
50.0ms	(* x (/ (- z t) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	355	522
1	1429	488
2	5001	473

prune178.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	104	6	110

Merged error: 0b

Counts

110 → 6

regimes138.0ms

Accuracy

-5.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch41.0ms

Steps

Iters	Range		Point
3	5.197691925046148e-136	6.394080706409866e-136	5.27246622388138e-136
8	-7.628811427089696e-231	-3.38612525643795e-235	-2.1279884135771335e-231

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample538.0ms

Algorithm

intervals

Results

275.0ms

10675×

body

valid