Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify65.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite94.0ms

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:

17.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
59.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
31.0ms	(- (* t z) x)
127.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
65.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify78.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (60.0ms)

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

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.8b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ y (- (* t z) x))
3.8b	(/ x (- (* t z) x))

rewrite72.0ms

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:

56.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ y (- (* t z) x))
6.0ms	(/ x (- (* t z) x))

series293.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
58.0ms	(fma (/ y (- (* t z) x)) z x)
37.0ms	(/ y (- (* t z) x))
61.0ms	(/ x (- (* t z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (47.0ms)

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

prune457.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
2.8b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ y (- (* t z) x))
3.8b	(/ x (- (* t z) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `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-+` `flip-+` `fma-udef`

Counts

4 → 124

Calls

4 calls:

36.0ms	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
0.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ y (- (* t z) x))
6.0ms	(/ x (- (* t z) x))

series296.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (+ x 1.0) (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))))
57.0ms	(fma (/ y (- (* t z) x)) z x)
32.0ms	(/ y (- (* t z) x))
68.0ms	(/ x (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	424	1343
1	1484	1277
2	5002	1277

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize267.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ x (- (* t z) x))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(/ x (- (* t z) x))
2.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))

series461.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ x (- (* t z) x))
131.0ms	(cbrt (- (* t z) x))
130.0ms	(cbrt (- (* t z) x))
132.0ms	(cbrt (- (* t z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	243	565
1	722	530
2	2114	509
3	5001	499

prune415.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes170.0ms

Accuracy

23% (3.3b remaining)

Error of 3.5b against oracle of 0.2b and baseline of 4.5b

bsearch114.0ms

Steps

Iters	Range		Point
8	1.9762236127349288e+76	5.631703241776849e+79	1.420138958383812e+77
10	-9.434013868652405e+83	-6.275215954198753e+68	-5.482999273352397e+83

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	13
1	35	13

end0.0ms

sample554.0ms

Algorithm

intervals

Results

333.0ms

8320×

body

valid