Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

275×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3547
10	1241
9	709
8	446
7	358
6	299
5	180
4	105
3	60
2	37
1	21
0	10

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

9.0ms	(+ x (* y (/ (- z t) (- z a))))
31.0ms	(/ (- z t) (- z a))
38.0ms	(* y (/ (- z t) (- z a)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (* y (/ (- z t) (- z a))))
74.0ms	(/ (- z t) (- z a))
86.0ms	(* y (/ (- z t) (- z a)))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1822
1	460
0	168

prune828.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.8b	(* y (* (- z t) (/ 1 (- z a))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 141

Calls

4 calls:

8.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
19.0ms	(/ 1 (- z a))
79.0ms	(* (- z t) (/ 1 (- z a)))
57.0ms	(* y (* (- z t) (/ 1 (- z a))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
85.0ms	(/ 1 (- z a))
93.0ms	(* (- z t) (/ 1 (- z a)))
126.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify4.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3558
1	496
0	190

prune867.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (- z t) (/ y (- z a)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

14.0ms	(/ y (- z a))
0.0ms	(fma (- z t) (/ y (- z a)) x)

series146.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (- z a))
99.0ms	(fma (- z t) (/ y (- z a)) x)

simplify827.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1492
2	448
1	177
0	92

prune366.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
9.8b	(/ (* y (- z t)) (- z a))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

31.0ms	(+ x (/ (* y (- z t)) (- z a)))
19.0ms	(* y (- z t))
38.0ms	(/ (* y (- z t)) (- z a))

series296.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ x (/ (* y (- z t)) (- z a)))
57.0ms	(* y (- z t))
98.0ms	(/ (* y (- z t)) (- z a))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1994
1	475
0	182

prune594.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes640.0ms

Accuracy

-1.1% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.3b

bsearch63.0ms

Steps

Iters	Range		Point
10	-5.814406149173703e+71	-1.3822839980335542e+56	-8.018870300280201e+70

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

927.0ms	8710×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid