Details

Time bar (total: 4.4s)

sample59.0ms

Algorithm
intervals
Results
25.0ms123×body1280valid
10.0ms77×body640valid
5.0ms365×pre80true
3.0ms31×body320valid
2.0ms116×body80valid
1.0ms18×body160valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize7.0ms

Local error

Found 1 expressions with local error:

5.2b
(- (exp x) 1.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
19.0ms
(- (exp x) 1.0)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(- (exp x) 1.0)

simplify58.0ms

Counts
17 → 17

prune69.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b
(* x 1/6)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
47.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms
(* x 1/6)

series111.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
28.0ms
(* x 1/6)

simplify166.0ms

Counts
55 → 55

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b
(* x 1/6)
3.0b
(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
9×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×pow1 associate-*r*
5×log-prod unswap-sqr
4×unpow-prod-down prod-exp add-log-exp
3×log-pow
2×distribute-rgt-in distribute-lft-in associate-*r/ exp-sum *-commutative cbrt-unprod unpow2 sqr-pow
1×pow-to-exp exp-prod exp-to-pow flip3-+ rem-log-exp pow-prod-down pow-exp flip-+
Counts
3 → 65
Calls
3 calls:
42.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
9.0ms
(* x 1/6)
5.0ms
(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

series231.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms
(* x 1/6)
121.0ms
(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

simplify136.0ms

Counts
74 → 74

prune212.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.3b
(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.1b
(- (exp (+ x x)) (* 1.0 1.0))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×add-sqr-sqrt times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out add-log-exp
6×exp-sum
5×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 72
Calls
3 calls:
9.0ms
(+ (exp x) 1.0)
213.0ms
(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
81.0ms
(- (exp (+ x x)) (* 1.0 1.0))

series93.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (exp x) 1.0)
61.0ms
(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
22.0ms
(- (exp (+ x x)) (* 1.0 1.0))

simplify119.0ms

Counts
81 → 81

prune173.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes54.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify151.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
803.0ms3430×body1280valid
415.0ms2505×body640valid
338.0ms12061×pre80true
108.0ms1247×body320valid
87.0ms4240×body80valid
35.0ms639×body160valid