Details

sample33.0ms

Algorithm

intervals

Results

21.0ms

337×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.2b	(/ (* x (+ (- y z) 1.0)) z)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

37.0ms	(* x (+ (- y z) 1.0))
18.0ms	(/ (* x (+ (- y z) 1.0)) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (+ (- y z) 1.0))
48.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	262	303
1	1268	253
2	5002	253

prune121.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
0.0b	(fma 1.0 (/ x z) (/ (* x y) z))
5.0b	(/ (* x y) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `times-frac` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

3.0ms	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
0.0ms	(fma 1.0 (/ x z) (/ (* x y) z))
3.0ms	(/ (* x y) z)

series124.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
53.0ms	(fma 1.0 (/ x z) (/ (* x y) z))
24.0ms	(/ (* x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	235	493
1	1042	390
2	5002	384

prune166.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 1.0 (/ x z) (* (* x y) (/ 1 z))) x)
0.0b	(fma 1.0 (/ x z) (* (* x y) (/ 1 z)))
5.0b	(* (* x y) (/ 1 z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`times-frac` `prod-diff`
8×	`pow1`
6×	`cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `fma-neg` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `1-exp` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `associate--l+` `un-div-inv` `-commutative` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 79

Calls

3 calls:

3.0ms	(- (fma 1.0 (/ x z) (* (* x y) (/ 1 z))) x)
0.0ms	(fma 1.0 (/ x z) (* (* x y) (/ 1 z)))
11.0ms	(* (* x y) (/ 1 z))

series127.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (fma 1.0 (/ x z) (* (* x y) (/ 1 z))) x)
61.0ms	(fma 1.0 (/ x z) (* (* x y) (/ 1 z)))
22.0ms	(* (* x y) (/ 1 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	371	650
1	1856	494
2	5002	472

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 1.0 (/ x z) (* x (/ y z))) x)
0.0b	(fma 1.0 (/ x z) (* x (/ y z)))
6.9b	(* x (/ y z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`associate-r`
10×	`times-frac`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `-commutative` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

3.0ms	(- (fma 1.0 (/ x z) (* x (/ y z))) x)
0.0ms	(fma 1.0 (/ x z) (* x (/ y z)))
8.0ms	(* x (/ y z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (fma 1.0 (/ x z) (* x (/ y z))) x)
61.0ms	(fma 1.0 (/ x z) (* x (/ y z)))
21.0ms	(* x (/ y z))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	288	540
1	1259	438
2	5002	432

prune194.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

47.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.3b

bsearch51.0ms

Steps

Iters	Range		Point
9	3.6222469794403684e-107	2.8787808973289545e-98	3.5216806508699143e-102

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample872.0ms

Algorithm

intervals

Results

644.0ms

10017×

body

valid