Details

sample184.0ms

Algorithm

intervals

Results

91.0ms

629×

body

valid

simplify1.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
3.2b	(* b (- (* c z) (* i a)))
4.2b	(* j (- (* c t) (* i y)))
5.9b	(* x (- (* y z) (* t a)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

15.0ms	(- (* c t) (* i y))
50.0ms	(* b (- (* c z) (* i a)))
51.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* x (- (* y z) (* t a)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* c t) (* i y))
80.0ms	(* b (- (* c z) (* i a)))
106.0ms	(* j (- (* c t) (* i y)))
97.0ms	(* x (- (* y z) (* t a)))

simplify1.2s

Counts: 96 → 96

prune556.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.8b

localize37.0ms

Local error

Found 4 expressions with local error:

3.2b	(* b (- (* c z) (* i a)))
3.7b	(* (- (* x t)) a)
4.2b	(* j (- (* c t) (* i y)))
7.5b	(* x (* y z))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

32.0ms	(* b (- (* c z) (* i a)))
20.0ms	(* (- (* x t)) a)
57.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* x (* y z))

series300.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* b (- (* c z) (* i a)))
52.0ms	(* (- (* x t)) a)
100.0ms	(* j (- (* c t) (* i y)))
36.0ms	(* x (* y z))

simplify789.0ms

Counts: 100 → 100

prune704.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.0b

localize57.0ms

Local error

Found 4 expressions with local error:

7.5b	(* x (* y z))
12.9b	(cbrt (* (- (* x t)) a))
12.9b	(cbrt (* (- (* x t)) a))
12.9b	(cbrt (* (- (* x t)) a))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 45

Calls

4 calls:

41.0ms	(* x (* y z))
9.0ms	(cbrt (* (- (* x t)) a))
10.0ms	(cbrt (* (- (* x t)) a))
10.0ms	(cbrt (* (- (* x t)) a))

series478.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (* y z))
133.0ms	(cbrt (* (- (* x t)) a))
135.0ms	(cbrt (* (- (* x t)) a))
167.0ms	(cbrt (* (- (* x t)) a))

simplify874.0ms

Counts: 57 → 57

prune560.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.0b

localize57.0ms

Local error

Found 4 expressions with local error:

7.5b	(* x (* y z))
11.3b	(cbrt (- (* x t)))
11.3b	(cbrt (- (* x t)))
11.3b	(cbrt (- (* x t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 60

Calls

4 calls:

22.0ms	(* x (* y z))
2.0ms	(cbrt (- (* x t)))
2.0ms	(cbrt (- (* x t)))
2.0ms	(cbrt (- (* x t)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* y z))
130.0ms	(cbrt (- (* x t)))
117.0ms	(cbrt (- (* x t)))
144.0ms	(cbrt (- (* x t)))

simplify1.4s

Counts: 72 → 72

prune569.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 1.0b

regimes2.0s

Accuracy

3.3% (10.7b remaining)

Error of 12.3b against oracle of 1.6b and baseline of 12.7b

bsearch601.0ms

Steps

Iters	Range		Point
4	108.32890937213158	170.63804855109743	112.17173264432692
9	5.444162537042841e-190	1.0822186736430265e-184	1.2726446353115491e-186
8	-3.1569358313892554e-224	-1.8307257761914648e-228	-2.363984397184064e-225
10	-1.2853569841868707e+209	-9.101911876786333e+197	-9.210072683042902e+197

simplify1.1s

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.5s

19059×

body

valid