Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma (/ y t) (- z x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune37.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
10.1b	(* (/ y t) (- z x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ y t) (- z x)) x)
58.0ms	(* (/ y t) (- z x))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	468	779
1	1870	547
2	5001	533

prune243.0ms

Filtered

104 candidates to 71 candidates (68.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))
2.6b	(* (/ y (cbrt t)) (- z x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
46×	`prod-exp`
35×	`add-cbrt-cube`
29×	`associate-l`
23×	`times-frac`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 203

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
51.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))
20.0ms	(* (/ y (cbrt t)) (- z x))

series633.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt t)
175.0ms	(cbrt t)
86.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))
186.0ms	(* (/ y (cbrt t)) (- z x))

simplify106.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1035	2633
1	4771	1665
2	5001	1665

prune425.0ms

Filtered

215 candidates to 115 candidates (53.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y (- z x)) t) x)
0.0b	(* y (- z x))
5.1b	(/ (* y (- z x)) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`times-frac`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

13.0ms	(+ (/ (* y (- z x)) t) x)
11.0ms	(* y (- z x))
10.0ms	(/ (* y (- z x)) t)

series113.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ (* y (- z x)) t) x)
34.0ms	(* y (- z x))
49.0ms	(/ (* y (- z x)) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	375	603
1	1699	431
2	5001	423

prune173.0ms

Filtered

101 candidates to 61 candidates (60.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

9.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch52.0ms

Steps

Iters	Range		Point
6	2.5115013046666315e-151	1.0095979316871632e-150	4.124852885869433e-151
6	-1.0121475574116978e-25	-1.746315848109072e-26	-4.539887277548347e-26

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample561.0ms

Algorithm

intervals

Results

293.0ms

10717×

body

valid