Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	79	10
2	210	10
3	483	10
4	910	10
5	1516	10
6	2818	10
7	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.7b	(+ (* (+ x y) z) (* (+ t y) a))
23.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

10.0ms	(* (+ x y) z)
42.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
86.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series841.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
110.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
58.0ms	(+ (* (+ x y) z) (* (+ t y) a))
649.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	568	1186
1	2526	1087
2	5003	1076

prune666.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x z (* z y))
1.3b	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
1.7b	(+ (fma x z (* z y)) (* (+ t y) a))
23.2b	(/ (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff` `associate-/l*`
2×	`flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `flip--` `flip-+` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `associate-+l+` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x z (* z y))
18.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
3.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
42.0ms	(/ (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series462.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma x z (* z y))
113.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
60.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
253.0ms	(/ (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	368	1067
1	1651	987
2	5001	975

prune344.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x z (* z y))
1.3b	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
1.7b	(+ (fma x z (* z y)) (* (+ t y) a))
23.3b	(/ (+ (+ x t) y) (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff` `associate-/r*`
2×	`flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `flip--` `flip-+` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `associate-+l+` `frac-2neg` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma x z (* z y))
15.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
3.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
43.0ms	(/ (+ (+ x t) y) (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma x z (* z y))
109.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
57.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
109.0ms	(/ (+ (+ x t) y) (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	348	1066
1	1538	987
2	5003	979

prune349.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x z (* z y))
1.3b	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
1.7b	(+ (fma x z (* z y)) (* (+ t y) a))
23.3b	(* (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
21×	`associate-r`
17×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log`
11×	`add-log-exp`
9×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`flip3--` `fma-def` `fma-neg` `associate-l` `prod-diff` `flip--` `unswap-sqr`
2×	`frac-times` `flip3-+` `diff-log` `div-exp` `associate-*l/` `sum-log` `associate-/r/` `cbrt-unprod` `flip-+` `fma-udef`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `associate-+l+` `1-exp` `associate-r/` `pow-prod-down` `associate--l+` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

0.0ms	(fma x z (* z y))
15.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
3.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
75.0ms	(* (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma x z (* z y))
108.0ms	(- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b))
54.0ms	(+ (fma x z (* z y)) (* (+ t y) a))
247.0ms	(* (- (+ (fma x z (* z y)) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	451	1109
1	2290	979
2	5003	949

prune349.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.7b

regimes372.0ms

Accuracy

20.4% (14.9b remaining)

Error of 22.9b against oracle of 8.0b and baseline of 26.7b

bsearch84.0ms

Steps

Iters	Range		Point
6	4.844697871524781e+160	6.760837018056753e+161	3.3049763982427626e+161
8	-1.3897823342662704e+160	-4.3432235689597726e+157	-2.7556754271139724e+158

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample644.0ms

Algorithm

intervals

Results

376.0ms	7997×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid