Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

268×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.7b	(/ (* y z) t)
6.9b	(/ (* y b) t)
12.3b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 112

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
34.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y z) t)
29.0ms	(/ (* y b) t)
122.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	472	881
1	2005	817
2	5001	797

prune449.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.7b	(/ (* y z) t)
4.9b	(* y (/ b t))
12.3b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`distribute-lft-out` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`fma-def` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 113

Calls

4 calls:

5.0ms	(+ x (/ (* y z) t))
8.0ms	(/ (* y z) t)
8.0ms	(* y (/ b t))
30.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (/ (* y z) t))
19.0ms	(/ (* y z) t)
21.0ms	(* y (/ b t))
109.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	537	829
1	2328	758
2	5001	740

prune403.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.9b	(* y (/ b t))
5.1b	(/ y (/ t z))
12.3b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
74×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv` `associate-/l*`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`fma-def` `associate-r/` `associate-l*`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 162

Calls

4 calls:

17.0ms	(+ x (/ y (/ t z)))
7.0ms	(* y (/ b t))
7.0ms	(/ y (/ t z))
70.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ y (/ t z)))
21.0ms	(* y (/ b t))
20.0ms	(/ y (/ t z))
258.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify87.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	734	1194
1	3092	1096
2	5001	1085

prune592.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.1b

localize19.0ms

Local error

Found 3 expressions with local error:

2.7b	(fma (/ y t) z x)
4.9b	(* y (/ b t))
12.3b	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (* y (/ b t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
7.0ms	(* y (/ b t))
19.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (* y (/ b t))))

series510.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma (/ y t) z x)
21.0ms	(* y (/ b t))
448.0ms	(/ (* 1 (fma (/ y t) z x)) (+ (+ a 1.0) (* y (/ b t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	419	499
1	1758	434
2	5001	429

prune249.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 11.1b

regimes411.0ms

Accuracy

64.8% (2.1b remaining)

Error of 13.0b against oracle of 10.8b and baseline of 16.9b

bsearch150.0ms

Steps

Iters	Range		Point
8	5.242301661714248e+72	4.1080805317820226e+75	5.308915796534895e+72
11	-2.1562925562507847e-41	-3.1811288376863296e-69	-2.6145555044474293e-55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	25
1	48	25
2	48	25

end0.0ms

sample889.0ms

Algorithm

intervals

Results

598.0ms

8282×

body

valid