Details

sample67.0ms

Algorithm

intervals

Results

23.0ms	364×	body	80	valid
19.0ms	323×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2777
5	1555
4	687
3	260
2	91
1	40
0	20

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

97.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
29.0ms	(- (* (- x 0.5) (log x)) x)
36.0ms	(* (- x 0.5) (log x))
55.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

616.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
581.0ms	(- (* (- x 0.5) (log x)) x)
422.0ms	(* (- x 0.5) (log x))
115.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1883
1	628
0	241

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (- x 0.5) (log x) (- 0.91893853320467 x)) (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x))
0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.3b	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

69.0ms	(+ (fma (- x 0.5) (log x) (- 0.91893853320467 x)) (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x))
53.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.0ms	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series759.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (fma (- x 0.5) (log x) (- 0.91893853320467 x)) (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x))
59.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
373.0ms	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
118.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5003
2	1467
1	474
0	187

prune827.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))
0.3b	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
4.7b	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
4.9b	(* (* z z) (+ 0.0007936500793651 y))

rewrite785.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate--l+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `div-exp` `associate-l` `prod-diff` `*-commutative` `associate-+l-` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

37.0ms	(- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))
0.0ms	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
692.0ms	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
52.0ms	(* (* z z) (+ 0.0007936500793651 y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778))
397.0ms	(fma (- x 0.5) (log x) (- 0.91893853320467 x))
102.0ms	(/ (+ (- (* (* z z) (+ 0.0007936500793651 y)) (* z 0.0027777777777778)) 0.083333333333333) x)
51.0ms	(* (* z z) (+ 0.0007936500793651 y))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5016
2	1877
1	527
0	198

prune746.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
69.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series867.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt x)
232.0ms	(cbrt x)
291.0ms	(cbrt x)
120.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5019
3	2278
2	654
1	232
0	101

prune888.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

87.6% (0.7b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 5.9b

bsearch171.0ms

Steps

Iters	Range		Point
8	1.62428420132287e+101	1.2203347923408381e+104	4.4513017173489885e+102

simplify15.0ms

Iterations

Iter	Nodes
done	51
1	51
0	38

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	11584×	body	80	valid
1.7s	11760×	body	80	nan