Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify57.0ms

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: 9.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite96.0ms

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:

21.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
56.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series325.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
26.0ms	(- (* t z) x)
140.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
64.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (56.0ms)

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

prune386.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.3b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ x (- (* t z) x))
3.5b	(/ y (- (* t z) x))

rewrite24.0ms

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:

5.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
0.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series263.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
61.0ms	(fma (/ y (- (* t z) x)) z x)
71.0ms	(/ x (- (* t z) x))
33.0ms	(/ y (- (* t z) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (45.0ms)

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

prune428.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (- (* t z) x))
2.3b	(fma (* y (/ 1 (- (* t z) x))) z x)
3.1b	(* y (/ 1 (- (* t z) x)))
3.3b	(/ x (- (* t z) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(/ 1 (- (* t z) x))
1.0ms	(fma (* y (/ 1 (- (* t z) x))) z x)
16.0ms	(* y (/ 1 (- (* t z) x)))
6.0ms	(/ x (- (* t z) x))

series189.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- (* t z) x))
65.0ms	(fma (* y (/ 1 (- (* t z) x))) z x)
29.0ms	(* y (/ 1 (- (* t z) x)))
67.0ms	(/ x (- (* t z) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	353	722
1	1547	634
2	5002	608

prune431.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x))
2.3b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ x (- (* t z) x))
3.5b	(/ y (- (* t z) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3--` `flip--` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 107

Calls

4 calls:

8.0ms	(/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x))
63.0ms	(fma (/ y (- (* t z) x)) z x)
64.0ms	(/ x (- (* t z) x))
38.0ms	(/ y (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	358	835
1	1289	769
2	5001	769

prune413.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes242.0ms

Accuracy

38% (2.7b remaining)

Error of 2.9b against oracle of 0.3b and baseline of 4.6b

bsearch101.0ms

Steps

Iters	Range		Point
6	7.685828937689965e+76	4.342265995353652e+77	2.8212707323659926e+77
8	-9.958721223374504e-77	-3.460978998595751e-79	-6.6172136846957955e-77

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	28
1	45	28
2	45	28

end0.0ms

sample781.0ms

Algorithm

intervals

Results

560.0ms

8327×

body

valid