Details

Time bar (total: 44.5s)

sample971.0ms

Algorithm
intervals
Results
763.0ms122×body1280valid
105.0ms73×body640valid
32.0ms256×pre80true
17.0ms18×body320valid
11.0ms35×body80valid
5.0ms8×body160valid

simplify170.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize28.0ms

Local error

Found 3 expressions with local error:

2.8b
(tan (+ y z))
0.1b
(- (tan (+ y z)) (tan a))
0.1b
(+ x (- (tan (+ y z)) (tan a)))

rewrite42.0ms

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
22.0ms
(+ x (- (tan (+ y z)) (tan a)))
14.0ms
(- (tan (+ y z)) (tan a))
5.0ms
(tan (+ y z))

series385.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
187.0ms
(+ x (- (tan (+ y z)) (tan a)))
144.0ms
(- (tan (+ y z)) (tan a))
54.0ms
(tan (+ y z))

simplify784.0ms

Counts
98 → 84

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan y) (tan z))
0.2b
(- (/ (+ (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)))
0.1b
(+ (tan y) (tan z))

rewrite210.0ms

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
107.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
76.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms
(* (tan y) (tan z))
8.0ms
(+ (tan y) (tan z))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
529.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
495.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
147.0ms
(+ (tan y) (tan z))
128.0ms
(* (tan y) (tan z))

simplify414.0ms

Counts
280 → 223

prune3.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

3.5b
(log (exp (* (tan y) (tan z))))
0.3b
(* (tan y) (tan z))
0.2b
(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
0.1b
(exp (* (tan y) (tan z)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
211×*-un-lft-identity
144×add-sqr-sqrt
113×times-frac
102×prod-diff
89×add-cube-cbrt
34×fma-neg difference-of-squares
33×distribute-lft-out--
28×distribute-lft-out
23×pow1
19×log-pow
9×add-log-exp
8×associate-/r/
6×add-cbrt-cube add-exp-log
5×flip3-- tan-quot flip--
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
3×log-prod associate-*r* associate-*l*
2×exp-prod exp-to-pow
1×frac-times sub-neg diff-log rem-log-exp pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod unswap-sqr rem-exp-log
Counts
4 → 209
Calls
4 calls:
Slowest
114.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
15.0ms
(exp (* (tan y) (tan z)))
14.0ms
(* (tan y) (tan z))
4.0ms
(log (exp (* (tan y) (tan z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
547.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (log (exp (* (tan y) (tan z)))))) (tan a))
198.0ms
(exp (* (tan y) (tan z)))
139.0ms
(* (tan y) (tan z))
118.0ms
(log (exp (* (tan y) (tan z))))

simplify718.0ms

Counts
329 → 221

prune3.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
0.4b
(* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
0.3b
(* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
0.3b
(* (tan z) (tan y))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
216×prod-diff
209×add-sqr-sqrt
179×add-cube-cbrt
172×frac-times
149×times-frac
116×flip3-- flip--
112×distribute-rgt-in distribute-lft-in
108×tan-quot
104×frac-sub
63×cbrt-div
58×associate-*l/
36×distribute-lft-out
34×associate-*r/
32×pow1
24×associate-/r/
15×associate-*r*
13×add-cbrt-cube add-exp-log
12×div-inv
10×associate-*l* difference-of-squares
8×swap-sqr
7×pow-plus pow-prod-up distribute-lft-out--
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u add-log-exp
3×pow2 pow-sqr *-commutative unswap-sqr
2×pow3
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 475
Calls
4 calls:
Slowest
632.0ms
(* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
413.0ms
(cbrt (* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
353.0ms
(* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
19.0ms
(* (tan z) (tan y))

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
923.0ms
(* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
722.0ms
(* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
585.0ms
(cbrt (* (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
163.0ms
(* (tan z) (tan y))

simplify1.9s

Counts
834 → 487

prune9.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch6.0ms

end0.0ms

sample14.1s

Algorithm
intervals
Results
8.1s3939×body1280valid
3.6s2001×body640valid
937.0ms8000×pre80true
575.0ms652×body320valid
344.0ms1129×body80valid
211.0ms279×body160valid