Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3428
8	1087
7	422
6	248
5	170
4	99
3	48
2	25
1	14
0	8

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (- z x) (/ y t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- z x) (/ y t) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (- z x) (/ y t) x)

simplify2.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1609
3	267
2	88
1	40
0	23

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
5.2b	(/ (* y (- z x)) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

19.0ms	(* y (- z x))
17.0ms	(/ (* y (- z x)) t)

series108.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- z x))
68.0ms	(/ (* y (- z x)) t)

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1545
1	365
0	146

prune287.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
5.2b	(* (* y (- z x)) (/ 1 t))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`add-exp-log`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`associate-r` `prod-diff`
16×	`add-cbrt-cube`
13×	`prod-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `times-frac`
7×	`associate-*r/` `cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `associate-l/` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 90

Calls

2 calls:

18.0ms	(* y (- z x))
50.0ms	(* (* y (- z x)) (/ 1 t))

series98.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- z x))
58.0ms	(* (* y (- z x)) (/ 1 t))

simplify2.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2694
1	498
0	184

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.2b	(/ (+ (* (- (* (cbrt z) (* (cbrt z) (cbrt z))) x) y) (* y (fma x -1 x))) t)

rewrite100.0ms

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 z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
94.0ms	(/ (+ (* (- (* (cbrt z) (* (cbrt z) (cbrt z))) x) y) (* y (fma x -1 x))) t)

series1.6s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt z)
277.0ms	(cbrt z)
282.0ms	(cbrt z)
733.0ms	(/ (+ (* (- (* (cbrt z) (* (cbrt z) (cbrt z))) x) y) (* y (fma x -1 x))) t)

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3941
2	713
1	220
0	96

prune667.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

3.1% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch110.0ms

Steps

Iters	Range		Point
10	1.4647489435834206e-113	2.992258951333251e-100	2.942943357684918e-100
8	-3.3801385409080117e+84	-5.330979885151254e+81	-9.852890509116223e+81

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

561.0ms

10632×

body

valid