Details

sample47.0ms

Algorithm

intervals

Results

31.0ms	284×	body	80	valid
2.0ms	4×	body	1280	valid
1.0ms	2×	body	640	valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	87
5	87
4	80
3	71
2	44
1	19
0	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ d2 30) d1)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

26.0ms

(* (+ d2 30) d1)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (+ d2 30) d1)

simplify3.1s

Counts

26 → 26

Iterations

Iter	Nodes
4	5595
3	1148
2	373
1	117
0	46

prune162.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10) (* d1 d2))
0.2b	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* d1 10) (* d1 d2))
44.0ms	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

series108.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* d1 10) (* d1 d2))
66.0ms	(+ (+ (* d1 10) (* d1 d2)) (* d1 20))

simplify2.1s

Counts

41 → 41

Iterations

Iter	Nodes
3	3714
2	822
1	209
0	62

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (+ d2 30)) d1)
0.3b	(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-l`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-*l/`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
7×	`flip3-+` `add-cube-cbrt` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

13.0ms	(* (sqrt (+ d2 30)) d1)
34.0ms	(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

series167.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (sqrt (+ d2 30)) d1)
47.0ms	(* (sqrt (+ d2 30)) (* (sqrt (+ d2 30)) d1))

simplify957.0ms

Counts

65 → 65

Iterations

Iter	Nodes
3	2242
2	778
1	289
0	112

prune485.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 30 d2) 30 (* d2 d2))
0.1b	(fma d2 (* d2 d2) 27000)
2.9b	(* d1 (fma d2 (* d2 d2) 27000))
13.9b	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma (- 30 d2) 30 (* d2 d2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (- 30 d2) 30 (* d2 d2))
0.0ms	(fma d2 (* d2 d2) 27000)
10.0ms	(* d1 (fma d2 (* d2 d2) 27000))
13.0ms	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma (- 30 d2) 30 (* d2 d2)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(fma (- 30 d2) 30 (* d2 d2))
103.0ms	(fma d2 (* d2 d2) 27000)
113.0ms	(* d1 (fma d2 (* d2 d2) 27000))
172.0ms	(/ (* d1 (fma d2 (* d2 d2) 27000)) (fma (- 30 d2) 30 (* d2 d2)))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
3	3448
2	656
1	200
0	98

prune668.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

759.0ms	9026×	body	80	valid
24.0ms	65×	body	1280	valid
14.0ms	49×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	16×	body	160	valid