Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

267×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	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: 5.1b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
25×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`associate-/r` `associate-/l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r/` `associate-/l/`
3×	`div-sub`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-+r-`

Counts

2 → 77

Calls

2 calls:

16.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms	(/ (- (* y z) x) (- (* t z) x))

series199.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
66.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	377	860
1	1373	803
2	5001	802

prune242.0ms

Filtered

83 candidates to 62 candidates (74.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.3b

Counts

84 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
1.3b	(/ y (- (* t z) x))
1.4b	(fma (/ y (- (* t z) x)) z x)
2.6b	(/ x (- (* t z) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`div-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `associate-*l/` `prod-exp` `flip--`
1×	`flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 98

Calls

4 calls:

7.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
6.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))

series251.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
34.0ms	(/ y (- (* t z) x))
56.0ms	(fma (/ y (- (* t z) x)) z x)
67.0ms	(/ x (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	423	735
1	1590	652
2	5001	650

prune325.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0.0b

Counts

118 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ (- (* t z) x) y))
1.2b	(/ (- (* t z) x) y)
1.4b	(fma (/ 1 (/ (- (* t z) x) y)) z x)
2.6b	(/ x (- (* t z) x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 151

Calls

4 calls:

8.0ms	(/ 1 (/ (- (* t z) x) y))
7.0ms	(/ (- (* t z) x) y)
1.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)
6.0ms	(/ x (- (* t z) x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (/ (- (* t z) x) y))
58.0ms	(/ (- (* t z) x) y)
48.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)
69.0ms	(/ x (- (* t z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	508	1180
1	2372	1055
2	5002	983

prune401.0ms

Filtered

163 candidates to 104 candidates (63.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	163	8	171

Merged error: 0.0b

Counts

171 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
1.6b	(* (/ z (- (* t z) x)) y)
2.6b	(/ x (- (* t z) x))
6.9b	(/ z (- (* t z) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*`
6×	`pow1` `div-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r` `associate-*l/` `clear-num` `flip--` `cbrt-unprod`
2×	`flip3-+` `flip-+` `associate-/l/` `unswap-sqr`
1×	`1-exp` `pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

20.0ms	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
9.0ms	(* (/ z (- (* t z) x)) y)
6.0ms	(/ x (- (* t z) x))
7.0ms	(/ z (- (* t z) x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (+ (* (/ z (- (* t z) x)) y) x) (* (+ x 1.0) 1))
61.0ms	(* (/ z (- (* t z) x)) y)
67.0ms	(/ x (- (* t z) x))
33.0ms	(/ z (- (* t z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	561	927
1	2380	825
2	5001	825

prune363.0ms

Filtered

138 candidates to 108 candidates (78.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Merged error: 0.0b

Counts

146 → 7

regimes172.0ms

Accuracy

0% (1.9b remaining)

Error of 2.2b against oracle of 0.2b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms

sample629.0ms

Algorithm

intervals

Results

410.0ms

8322×

body

valid