Details

sample159.0ms

Algorithm

intervals

Results

79.0ms	114×	body	1280	valid
35.0ms	73×	body	640	valid
14.0ms	271×	body	80	nan
10.0ms	41×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	9×	body	80	valid

simplify186.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	127
9	127
8	123
7	116
6	105
5	88
4	60
3	38
2	25
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

25.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (+ 1.0 x) (- 1.0 x))
169.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	2885
2	881
1	347
0	146

prune447.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 22

Calls

1 calls:

5.0ms

(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))

series128.0ms

Counts

1 → 3

Calls

1 calls:

128.0ms

(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))

simplify2.0s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	1473
2	291
1	102
0	42

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))
3.0b	(exp (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`log-prod` `exp-prod` `exp-sum` `add-log-exp`
3×	`pow1` `fma-neg` `prod-diff`
2×	`expm1-log1p-u` `log-div` `flip3--` `add-cbrt-cube` `exp-diff` `add-exp-log` `log1p-expm1-u` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `associate--l+` `log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 42

Calls

2 calls:

5.0ms	(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))
5.0ms	(exp (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))

series315.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))
137.0ms	(exp (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))

simplify2.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	1574
2	354
1	149
0	78

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
0.3b	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
1.7b	(exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))))
3.1b	(pow (exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
7×	`pow-unpow` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-pow` `log-pow`
2×	`exp-prod` `exp-to-pow` `pow1/3`
1×	`pow-to-exp` `pow-exp` `sqr-pow` `rem-exp-log`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
1.0ms	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
7.0ms	(exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))))
15.0ms	(pow (exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))

series3.0s

Counts

4 → 12

Calls

4 calls:

597.0ms	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
515.0ms	(cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))
554.0ms	(exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0)))))))
1.4s	(pow (exp (* (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))) (cbrt (log (- (fma x x x) (* (/ x 1.0) (/ x 1.0))))))

simplify3.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5005
4	3522
3	1230
2	476
1	203
0	82

prune384.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes112.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.8s	3419×	body	1280	valid
1.3s	2525×	body	640	valid
649.0ms	8157×	body	80	nan
440.0ms	192×	body	80	valid
366.0ms	1222×	body	320	valid
143.0ms	642×	body	160	valid