Details

sample157.0ms

Algorithm

intervals

Results

80.0ms	104×	body	1280	valid
34.0ms	80×	body	640	valid
15.0ms	249×	body	80	nan
12.0ms	43×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	10×	body	80	valid

simplify29.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

29.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize39.0ms

Local error

Found 2 expressions with local error:

5.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

21.0ms	(/ (- 1 eps) (+ 1 eps))
14.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

89.0ms	(log (/ (- 1 eps) (+ 1 eps)))
28.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.5s

Counts

102 → 104

Calls

102 calls:

Slowest

546.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
521.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
246.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
237.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
234.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune823.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.0b	(* eps (- (* (* eps -2/3) eps) 2))
0.0b	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

83.0ms	(* eps (- (* (* eps -2/3) eps) 2))
24.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(* eps (- (* (* eps -2/3) eps) 2))
100.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
48.0ms	(* (* eps -2/3) eps)
30.0ms	(* eps -2/3)

simplify3.7s

Counts

51 → 98

Calls

51 calls:

Slowest

660.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
311.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
308.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
304.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
286.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))

prune885.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.1b	(* eps (* (* eps -2/3) eps))
0.0b	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

38.0ms	(* eps (* (* eps -2/3) eps))
16.0ms	(* (* eps -2/3) eps)
10.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))
54.0ms	(* (* eps -2/3) eps)
45.0ms	(* eps (* (* eps -2/3) eps))
26.0ms	(* eps -2/3)

simplify3.7s

Counts

40 → 89

Calls

40 calls:

Slowest

593.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)))
565.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
465.0ms	(* (* (* eps eps) eps) (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)))
433.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)))
299.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune945.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

5.8b	(log (/ (- 1 eps) (fma (* eps eps) eps 1)))
5.7b	(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
0.0b	(/ (- 1 eps) (fma (* eps eps) eps 1))
0.0b	(+ (* 1 1) (- (* eps eps) (* 1 eps)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
36×	`times-frac`
26×	`log-prod` `add-cube-cbrt`
14×	`difference-of-squares`
10×	`add-exp-log`
9×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-div` `associate-+r+` `associate-/r*` `rem-log-exp`
2×	`sum-log` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `flip3--` `diff-log` `div-sub` `prod-diff` `flip--`

Counts

4 → 120

Calls

4 calls:

Slowest

29.0ms	(+ (* 1 1) (- (* eps eps) (* 1 eps)))
24.0ms	(/ (- 1 eps) (fma (* eps eps) eps 1))
15.0ms	(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
4.0ms	(log (/ (- 1 eps) (fma (* eps eps) eps 1)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(/ (- 1 eps) (fma (* eps eps) eps 1))
72.0ms	(log (/ (- 1 eps) (fma (* eps eps) eps 1)))
49.0ms	(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
22.0ms	(+ (* 1 1) (- (* eps eps) (* 1 eps)))

simplify8.1s

Counts

99 → 132

Calls

99 calls:

Slowest

476.0ms	(* (exp (* 1 1)) (/ (exp (* eps eps)) (exp (* 1 eps))))
470.0ms	(* (exp (* 1 1)) (exp (- (* eps eps) (* 1 eps))))
360.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (fma (* eps eps) eps 1) (fma (* eps eps) eps 1)) (fma (* eps eps) eps 1)))
348.0ms	(- (+ (* 2 (log (/ -1 eps))) (log -1)) (+ (/ 1 eps) (* 1/2 (/ 1 (pow eps 2)))))
307.0ms	(- (+ (* 2 (log (/ 1 eps))) (log -1)) (+ (/ 1 eps) (* 1/2 (/ 1 (pow eps 2)))))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch7.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.1s	3418×	body	1280	valid
1.7s	2567×	body	640	valid
619.0ms	7941×	body	80	nan
404.0ms	1232×	body	320	valid
138.0ms	578×	body	160	valid
18.0ms	205×	body	80	valid