Details

sample44.0ms

Algorithm

intervals

Results

28.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify88.0ms

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: 22.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
21.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite144.0ms

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	(* (+ t y) a)
42.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
84.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series959.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (+ t y) a)
125.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
62.0ms	(+ (* (+ x y) z) (* (+ t y) a))
740.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	564	1186
1	2509	1087
2	5001	1077

prune439.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.8b	(fma (+ x y) z (* (+ t y) a))
9.4b	(/ (* y b) (+ (+ x t) y))
17.4b	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
124×	`times-frac`
66×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
49×	`distribute-lft-out`
18×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`associate-/l*`
10×	`associate-/r*`
8×	`div-inv`
7×	`div-exp`
6×	`pow1`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `associate-l` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r` `flip-+`
2×	`frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod`
1×	`1-exp` `pow-prod-down` `*-commutative` `fma-udef` `associate-/l/` `unswap-sqr`

Counts

4 → 165

Calls

4 calls:

10.0ms	(* (+ t y) a)
0.0ms	(fma (+ x y) z (* (+ t y) a))
19.0ms	(/ (* y b) (+ (+ x t) y))
22.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series395.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
53.0ms	(fma (+ x y) z (* (+ t y) a))
80.0ms	(/ (* y b) (+ (+ x t) y))
237.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	588	1846
1	2585	1673
2	5001	1572

prune459.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.8b	(fma (+ x y) z (* (+ t y) a))
7.9b	(* y (/ b (+ (+ x t) y)))
17.4b	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

159×	`*-un-lft-identity`
135×	`times-frac`
79×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
52×	`distribute-lft-out`
24×	`associate-r`
18×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`associate-/l*`
8×	`pow1` `div-inv`
7×	`associate-l`
6×	`div-exp`
5×	`associate-/r*`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`frac-2neg` `1-exp` `associate-*r/` `clear-num` `fma-udef` `associate-/l/`

Counts

4 → 178

Calls

4 calls:

10.0ms	(* (+ t y) a)
0.0ms	(fma (+ x y) z (* (+ t y) a))
43.0ms	(* y (/ b (+ (+ x t) y)))
22.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series395.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
56.0ms	(fma (+ x y) z (* (+ t y) a))
79.0ms	(* y (/ b (+ (+ x t) y)))
236.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify82.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	641	1911
1	2797	1739
2	5001	1638

prune489.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

localize24.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (* y (/ b (+ (+ x t) y))))
14.0b	(cbrt (* y (/ b (+ (+ x t) y))))
14.0b	(cbrt (* y (/ b (+ (+ x t) y))))
17.4b	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
119×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
13×	`associate-/l*`
11×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`div-inv`
5×	`div-exp` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `cbrt-div` `pow1/3` `associate-*r/`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`

Counts

4 → 139

Calls

4 calls:

11.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
11.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
11.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
22.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series997.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
251.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
255.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
234.0ms	(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	441	1807
1	1553	1643
2	5001	1537

prune416.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.8b

regimes460.0ms

Accuracy

19.5% (17.6b remaining)

Error of 20.9b against oracle of 3.3b and baseline of 25.2b

bsearch275.0ms

Steps

Iters	Range		Point
6	1.0642398343955026e+70	1.4557735245822747e+71	1.7662230389581438e+70
10	2.9801384901247225e-300	1.4595814178353924e-289	2.017571219391953e-297
8	-6.38306267145837e-101	-3.7456106823656174e-105	-4.415313689866515e-105
7	-7.281669141149857e+115	-1.1630336599774037e+114	-2.263277863276343e+115

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	75
1	47	75

end0.0ms

sample1.1s

Algorithm

intervals

Results

760.0ms	7997×	body	80	valid
1.0ms	3×	body	160	valid