Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 8.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

12.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
115.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
62.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify71.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	453	1085
1	1987	1003
2	5001	1002

prune313.0ms

Filtered

125 candidates to 93 candidates (74.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0.3b

Counts

126 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.7b	(fma (/ y (- (* t z) x)) z x)
2.9b	(/ x (- (* t z) x))
2.9b	(/ y (- (* t z) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

17.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
57.0ms	(fma (/ y (- (* t z) x)) z x)
62.0ms	(/ x (- (* t z) x))
30.0ms	(/ y (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	488	1388
1	1679	1305
2	5002	1301

prune378.0ms

Filtered

137 candidates to 105 candidates (76.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	137	8	145

Merged error: 0.2b

Counts

145 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
2.7b	(fma (/ y (- (* t z) x)) z x)
2.9b	(/ x (- (* t z) x))
2.9b	(/ y (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-l` `associate-/r` `associate-/r/` `associate-/l`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `cbrt-unprod` `difference-of-squares`
1×	`rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `fma-udef` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

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

series270.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (/ 1 (+ x 1.0)))
57.0ms	(fma (/ y (- (* t z) x)) z x)
64.0ms	(/ x (- (* t z) x))
32.0ms	(/ y (- (* t z) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	558	1203
1	2379	1095
2	5001	1079

prune367.0ms

Filtered

134 candidates to 103 candidates (76.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	134	8	142

Merged error: 0.2b

Counts

142 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- (* t z) x)))
2.0b	(/ (cbrt x) (- (* t z) x))
2.7b	(fma (/ y (- (* t z) x)) z x)
2.9b	(/ y (- (* t z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

20.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- (* t z) x)))
7.0ms	(/ (cbrt x) (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ y (- (* t z) x))

series340.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- (* t z) x)))
168.0ms	(/ (cbrt x) (- (* t z) x))
60.0ms	(fma (/ y (- (* t z) x)) z x)
31.0ms	(/ y (- (* t z) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	474	1150
1	2255	1042
2	5002	1007

prune464.0ms

Filtered

145 candidates to 117 candidates (80.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	145	8	153

Merged error: 0.2b

Counts

153 → 8

regimes242.0ms

Accuracy

67.8% (1.4b remaining)

Error of 1.7b against oracle of 0.3b and baseline of 4.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	40
1	42	40

end0.0ms

sample532.0ms

Algorithm

intervals

Results

317.0ms

8311×

body

valid