Details

Time bar (total: 34.8s)

sample489.0ms

Algorithm
intervals
Results
323.0ms139×body1280valid
73.0ms56×body640valid
27.0ms256×pre80true
16.0ms18×body320valid
10.0ms38×body80valid
3.0ms5×body160valid

simplify225.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize44.0ms

Local error

Found 3 expressions with local error:

2.6b
(tan (+ y z))
0.1b
(+ x (- (tan (+ y z)) (tan a)))
0.1b
(- (tan (+ y z)) (tan a))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
5×add-sqr-sqrt
4×tan-quot
3×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
2×tan-sum associate-+r+ 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 → 45
Calls
3 calls:
Slowest
14.0ms
(- (tan (+ y z)) (tan a))
11.0ms
(+ x (- (tan (+ y z)) (tan a)))
5.0ms
(tan (+ y z))

series418.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
169.0ms
(+ x (- (tan (+ y z)) (tan a)))
167.0ms
(- (tan (+ y z)) (tan a))
82.0ms
(tan (+ y z))

simplify1.8s

Counts
54 → 54

prune836.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
22×add-sqr-sqrt
15×add-cube-cbrt
13×times-frac
11×add-log-exp
8×add-cbrt-cube add-exp-log
7×tan-quot
6×pow1 distribute-lft-out
4×insert-posit16 associate-/l*
3×associate-/r* associate-*r* associate-*l* associate-/l/
2×associate-+r+ sum-log sub-neg flip3-+ flip3-- diff-log associate-/r/ flip-+ flip-- distribute-lft-out-- difference-of-squares
1×frac-times cbrt-undiv +-commutative clear-num associate-+r- frac-2neg div-exp pow-prod-down associate-*l/ frac-add prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
4 → 94
Calls
4 calls:
Slowest
135.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
83.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
46.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
27.0ms
(* (tan y) (tan z))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
572.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
458.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
289.0ms
(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
121.0ms
(* (tan y) (tan z))

simplify1.4s

Counts
106 → 106

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

2.2b
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
0.2b
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b
(* (tan y) (tan z))
0.1b
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

rewrite601.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-log-exp
14×add-sqr-sqrt
7×add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
5×exp-prod tan-quot
4×sum-log insert-posit16 distribute-lft-out
3×diff-log associate-*r* associate-*l* distribute-lft-out-- rem-exp-log
2×associate-+r+ associate-+r- sub-neg difference-of-squares
1×frac-times +-commutative flip3-+ times-frac flip3-- exp-diff exp-sum pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod flip-+ flip-- unswap-sqr
Counts
4 → 75
Calls
4 calls:
Slowest
416.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
99.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
64.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
20.0ms
(* (tan y) (tan z))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
591.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))
486.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
462.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
147.0ms
(* (tan y) (tan z))

simplify1.4s

Counts
87 → 87

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.4b
(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
0.3b
(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
0.2b
(* (tan y) (tan z))
0.2b
(/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a)))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×add-sqr-sqrt
31×times-frac
30×add-cube-cbrt
23×exp-prod
16×associate-*r*
13×add-cbrt-cube
8×pow1
7×add-exp-log
6×associate-*l*
5×add-log-exp
4×tan-quot insert-posit16
3×associate-/r* prod-exp cbrt-unprod div-inv distribute-lft-out associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*r/ associate-/r/ *-commutative pow-div
1×frac-times clear-num frac-2neg flip3-- associate-*l/ pow-prod-up flip-- rem-exp-log
Counts
4 → 112
Calls
4 calls:
Slowest
116.0ms
(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
54.0ms
(/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a)))
40.0ms
(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
25.0ms
(* (tan y) (tan z))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
640.0ms
(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
446.0ms
(/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a)))
274.0ms
(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
141.0ms
(* (tan y) (tan z))

simplify1.3s

Counts
124 → 124

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes626.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample13.9s

Algorithm
intervals
Results
8.7s3813×body1280valid
2.9s2048×body640valid
862.0ms8000×pre80true
598.0ms711×body320valid
345.0ms1122×body80valid
199.0ms306×body160valid