Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

260×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	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: 16.8b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.8b	(/ (* y z) t)
6.0b	(/ (* y b) t)
12.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
20×	`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` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 112

Calls

4 calls:

5.0ms	(+ x (/ (* y z) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
14.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y z) t)
25.0ms	(/ (* y b) t)
116.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	472	881
1	2005	817
2	5001	797

prune400.0ms

Filtered

124 candidates to 86 candidates (69.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	111	13	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	13	125

Merged error: 11.7b

Counts

125 → 13

localize14.0ms

Local error

Found 3 expressions with local error:

2.7b	(fma (/ y t) z x)
6.0b	(/ (* y b) t)
12.6b	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
4×	`associate-/r/` `associate-/l*`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `flip-+` `div-inv`
1×	`prod-exp` `cbrt-unprod` `fma-udef`

Counts

3 → 74

Calls

3 calls:

1.0ms	(fma (/ y t) z x)
5.0ms	(/ (* y b) t)
10.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

series578.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma (/ y t) z x)
23.0ms	(/ (* y b) t)
508.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	319	601
1	1203	554
2	5001	549

prune273.0ms

Filtered

83 candidates to 56 candidates (67.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 11.0b

Counts

96 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

2.7b	(fma (/ y t) z x)
4.1b	(* y (/ b t))
12.6b	(/ (fma (/ y t) z x) (+ (+ a 1.0) (* y (/ b t))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r/`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `fma-udef`

Counts

3 → 77

Calls

3 calls:

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

series598.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(fma (/ y t) z x)
24.0ms	(* y (/ b t))
522.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (* y (/ b t))))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	374	579
1	1463	531
2	5001	530

prune286.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	86	12	98

Merged error: 11.0b

Counts

98 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
2.7b	(fma (/ y t) z x)
6.0b	(/ (* y b) t)
12.1b	(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
35×	`times-frac`
33×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
23×	`associate-r`
22×	`add-exp-log`
21×	`distribute-lft-out`
16×	`add-cbrt-cube`
8×	`associate-/r*` `associate-/r/`
7×	`pow1`
6×	`div-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-l` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
1.0ms	(fma (/ y t) z x)
5.0ms	(/ (* y b) t)
16.0ms	(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
50.0ms	(fma (/ y t) z x)
25.0ms	(/ (* y b) t)
503.0ms	(* (fma (/ y t) z x) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	434	968
1	1896	852
2	5001	803

prune324.0ms

Filtered

138 candidates to 83 candidates (60.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	138	12	150

Merged error: 11.0b

Counts

150 → 12

regimes536.0ms

Accuracy

64% (2.1b remaining)

Error of 13.0b against oracle of 10.9b and baseline of 16.8b

bsearch139.0ms

Steps

Iters	Range		Point
6	9.858118329995701e-44	1.1123238708673362e-42	7.834709773017096e-43
9	-114621340556398.55	-155923.13655036082	-426148184416.3489

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	16
1	41	16

end0.0ms

sample804.0ms

Algorithm

intervals

Results

481.0ms

8266×

body

valid