Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

350×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.5b	(fma (/ (- y x) t) z x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- y x) t)
32.0ms	(fma (/ (- y x) t) z x)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune113.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- y x) (/ 1 t))
4.5b	(fma (* (- y x) (/ 1 t)) z x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

10.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- y x) (/ 1 t))
35.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	277	304
1	1127	260
2	5001	239

prune108.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y x) t) z) x)
0.0b	(/ (- y x) t)
4.7b	(* (/ (- y x) t) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
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-r` `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` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

7.0ms	(+ (* (/ (- y x) t) z) x)
6.0ms	(/ (- y x) t)
8.0ms	(* (/ (- y x) t) z)

series98.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* (/ (- y x) t) z) x)
25.0ms	(/ (- y x) t)
43.0ms	(* (/ (- y x) t) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	358	520
1	1176	485
2	5001	470

prune167.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	105	6	111

Merged error: 0b

Counts

111 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
7.5b	(* (- y x) (/ z t))

rewrite18.0ms

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×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

7.0ms	(+ (* (- y x) (/ z t)) x)
9.0ms	(* (- y x) (/ z t))

series73.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (- y x) (/ z t)) x)
39.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	306	328
1	1261	304
2	5001	289

prune90.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0b

Counts

66 → 6

regimes151.0ms

Accuracy

-13.7% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 1.9b

bsearch47.0ms

Steps

Iters	Range		Point
3	7.34063468958014e-93	9.060069098410206e-93	8.675833174889401e-93
8	-9.391510906827498e-191	-8.06374648474135e-194	-5.43286468955906e-191

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample637.0ms

Algorithm

intervals

Results

353.0ms

10664×

body

valid