Details

Time bar (total: 36.9s)

sample480.0ms

Algorithm
intervals
Results
256.0ms129×body1280valid
120.0ms65×body640valid
32.0ms256×pre80true
16.0ms21×body320valid
10.0ms35×body80valid
3.0ms6×body160valid

simplify225.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize39.0ms

Local error

Found 3 expressions with local error:

2.5b
(tan (+ y z))
0.1b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
18×prod-diff
17×add-cube-cbrt
11×associate-+r+
10×add-log-exp
4×tan-quot
3×expm1-log1p-u pow1 fma-def add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
2×tan-sum sum-log sub-neg diff-log frac-sub distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-+ flip3-- flip-+ flip-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
Slowest
28.0ms
(- (tan (+ y z)) (tan a))
12.0ms
(+ x (- (tan (+ y z)) (tan a)))
10.0ms
(tan (+ y z))

series555.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
233.0ms
(+ x (- (tan (+ y z)) (tan a)))
230.0ms
(- (tan (+ y z)) (tan a))
92.0ms
(tan (+ y z))

simplify2.8s

Counts
84 → 84

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (tan y) (tan z))
0.1b
(+ (tan y) (tan z))
0.1b
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
108×prod-diff
107×add-sqr-sqrt
100×add-cube-cbrt
85×times-frac
56×associate-+r+
24×distribute-lft-out
18×fma-neg
14×associate-/r/
13×add-log-exp
8×flip3-- flip--
7×tan-quot div-inv
6×pow1 fma-def add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×sum-log associate-*r* associate-*l*
2×+-commutative sub-neg flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares
1×frac-times associate-+r- pow-prod-down associate-*l/ frac-add prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
4 → 211
Calls
4 calls:
Slowest
135.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
107.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
18.0ms
(* (tan y) (tan z))
8.0ms
(+ (tan y) (tan z))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
726.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
629.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
224.0ms
(+ (tan y) (tan z))
152.0ms
(* (tan y) (tan z))

simplify838.0ms

Counts
223 → 223

prune3.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (tan y) (sin z)) (cos z))
0.2b
(* (tan y) (sin z))
0.1b
(+ (tan y) (tan z))
0.1b
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
138×add-sqr-sqrt
100×times-frac
90×prod-diff
83×add-cube-cbrt
34×difference-of-squares
30×fma-neg
25×distribute-lft-out
17×distribute-lft-out--
11×add-cbrt-cube add-exp-log
8×associate-/r/ add-log-exp
6×pow1
5×flip3-- tan-quot div-inv flip--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* fma-def associate-*r* associate-*l*
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
1×+-commutative clear-num sum-log sub-neg frac-2neg flip3-+ diff-log pow-prod-down frac-add *-commutative frac-sub flip-+ associate-/l* unswap-sqr associate-/l/
Counts
4 → 205
Calls
4 calls:
Slowest
128.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
29.0ms
(/ (* (tan y) (sin z)) (cos z))
20.0ms
(* (tan y) (sin z))
7.0ms
(+ (tan y) (tan z))

series954.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
541.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
178.0ms
(+ (tan y) (tan z))
153.0ms
(/ (* (tan y) (sin z)) (cos z))
82.0ms
(* (tan y) (sin z))

simplify1.1s

Counts
217 → 217

prune4.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (* (tan y) (sin z)) (cos z)) 3)
0.3b
(* (/ (* (tan y) (sin z)) (cos z)) (/ (* (tan y) (sin z)) (cos z)))
0.2b
(/ (* (tan y) (sin z)) (cos z))
0.2b
(/ (* (tan y) (sin z)) (cos z))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
56×add-cbrt-cube add-exp-log
24×times-frac
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×cbrt-undiv div-exp prod-exp cbrt-unprod
12×pow1
8×div-inv
7×unpow-prod-down cube-prod swap-sqr associate-*r* associate-*l*
6×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-*l/ pow-exp rem-cube-cbrt
2×clear-num frac-2neg tan-quot associate-/l* associate-/l/
1×cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 pow-prod-down associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr sqr-pow
Counts
4 → 148
Calls
4 calls:
Slowest
59.0ms
(* (/ (* (tan y) (sin z)) (cos z)) (/ (* (tan y) (sin z)) (cos z)))
29.0ms
(/ (* (tan y) (sin z)) (cos z))
18.0ms
(/ (* (tan y) (sin z)) (cos z))
16.0ms
(pow (/ (* (tan y) (sin z)) (cos z)) 3)

series786.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(pow (/ (* (tan y) (sin z)) (cos z)) 3)
211.0ms
(* (/ (* (tan y) (sin z)) (cos z)) (/ (* (tan y) (sin z)) (cos z)))
173.0ms
(/ (* (tan y) (sin z)) (cos z))
164.0ms
(/ (* (tan y) (sin z)) (cos z))

simplify1.0s

Counts
160 → 160

prune3.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch5.0ms

end0.0ms

sample12.1s

Algorithm
intervals
Results
7.5s3873×body1280valid
2.2s1970×body640valid
1.1s8000×pre80true
525.0ms709×body320valid
233.0ms1180×body80valid
138.0ms268×body160valid