Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

269×

body

valid

simplify886.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.5b	(/ x (* (- y z) (- t z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

62.0ms	(* (- y z) (- t z))
26.0ms	(/ x (* (- y z) (- t z)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (- y z) (- t z))
163.0ms	(/ x (* (- y z) (- t z)))

simplify650.0ms

Counts: 69 → 69

prune239.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
117.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series943.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt x)
288.0ms	(cbrt x)
200.0ms	(cbrt x)
198.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify719.0ms

Counts: 122 → 122

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- t z))
1.7b	(/ (/ x (- t z)) (- y z))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 185

Calls

2 calls:

20.0ms	(/ x (- t z))
51.0ms	(/ (/ x (- t z)) (- y z))

series211.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ x (- t z))
164.0ms	(/ (/ x (- t z)) (- y z))

simplify720.0ms

Counts: 191 → 191

prune631.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t z))
0.6b	(cbrt (- t z))
0.6b	(cbrt (- t z))
1.1b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (- t z)) (cbrt (- t z)))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
29×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
19×	`*-un-lft-identity`
18×	`cbrt-prod` `cbrt-div`
16×	`times-frac` `associate-r`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `div-exp`
11×	`add-cube-cbrt` `associate-l`
10×	`flip3--` `associate-/r/` `flip--`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 108

Calls

4 calls:

8.0ms	(cbrt (- t z))
8.0ms	(cbrt (- t z))
10.0ms	(cbrt (- t z))
166.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (- t z)) (cbrt (- t z)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (- t z))
192.0ms	(cbrt (- t z))
194.0ms	(cbrt (- t z))
826.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (- t z)) (cbrt (- t z)))))

simplify1.1s

Counts: 120 → 120

prune582.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

11.5% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch34.0ms

Steps

Iters	Range		Point
7	8.491941222279708e+173	2.880405133067897e+175	1.1746358183021635e+175

simplify529.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

638.0ms

8427×

body

valid