Details

Time bar (total: 1.2m)

sample48.0ms

Algorithm
intervals
Results
28.0ms311×body80valid
1.0ms6×body320valid
1.0ms5×body640valid
1.0ms2×body1280valid
0.0ms2×body160valid

simplify105.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
105.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ (+ 3 d3) d2) d1)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
82.0ms
(* (+ (+ 3 d3) d2) d1)

series37.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* (+ (+ 3 d3) d2) d1)

simplify3.3s

Counts
28 → 28
Calls
28 calls:
Slowest
341.0ms
(* (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)) d1)
314.0ms
(exp (* (+ (+ 3 d3) d2) d1))
280.0ms
(* (* (* (+ (+ 3 d3) d2) (+ (+ 3 d3) d2)) (+ (+ 3 d3) d2)) (* (* d1 d1) d1))
265.0ms
(* (+ (+ 3 d3) d2) (* (cbrt d1) (cbrt d1)))
223.0ms
(* (* (* (+ (+ 3 d3) d2) d1) (* (+ (+ 3 d3) d2) d1)) (* (+ (+ 3 d3) d2) d1))

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d2 (+ d3 3)) d1)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
41.0ms
(* (+ d2 (+ d3 3)) d1)

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(* (+ d2 (+ d3 3)) d1)

simplify3.3s

Counts
28 → 28
Calls
28 calls:
Slowest
378.0ms
(exp (* (+ d2 (+ d3 3)) d1))
307.0ms
(* (+ d2 (+ d3 3)) (* (cbrt d1) (cbrt d1)))
291.0ms
(* (- (* d2 d2) (* (+ d3 3) (+ d3 3))) d1)
283.0ms
(* (+ (pow d2 3) (pow (+ d3 3) 3)) d1)
272.0ms
(* (* (* (+ d2 (+ d3 3)) (+ d2 (+ d3 3))) (+ d2 (+ d3 3))) (* (* d1 d1) d1))

prune214.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ d2 (+ d3 3)))
0.4b
(cbrt (+ d2 (+ d3 3)))
0.4b
(cbrt (+ d2 (+ d3 3)))
0.3b
(* (cbrt (+ d2 (+ d3 3))) (cbrt (+ d2 (+ d3 3))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
Slowest
96.0ms
(* (cbrt (+ d2 (+ d3 3))) (cbrt (+ d2 (+ d3 3))))
16.0ms
(cbrt (+ d2 (+ d3 3)))
16.0ms
(cbrt (+ d2 (+ d3 3)))
8.0ms
(cbrt (+ d2 (+ d3 3)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(cbrt (+ d2 (+ d3 3)))
122.0ms
(* (cbrt (+ d2 (+ d3 3))) (cbrt (+ d2 (+ d3 3))))
110.0ms
(cbrt (+ d2 (+ d3 3)))
106.0ms
(cbrt (+ d2 (+ d3 3)))

simplify12.2s

Counts
167 → 129
Calls
167 calls:
Slowest
696.0ms
(cbrt (+ (* d2 d2) (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3)))))
458.0ms
(* (cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3)))) (cbrt (+ (pow d2 3) (pow (+ d3 3) 3))))
406.0ms
(* (cbrt (+ (pow d2 3) (pow (+ d3 3) 3))) (cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3)))))
366.0ms
(* (+ d2 (+ d3 3)) (+ d2 (+ d3 3)))
352.0ms
(cbrt (+ (* d2 d2) (- (* (+ d3 3) (+ d3 3)) (* d2 (+ d3 3)))))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

19.3b
(cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3))))
2.1b
(- (* d2 d2) (* (+ d3 3) (+ d3 3)))
0.6b
(/ (cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3)))) (cbrt (- d2 (+ d3 3))))
0.4b
(cbrt (+ d2 (+ d3 3)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
97×cbrt-prod
87×*-un-lft-identity
63×times-frac
58×add-sqr-sqrt
42×add-cube-cbrt
20×difference-of-squares
16×distribute-lft-out--
11×distribute-lft-out
9×associate-/r*
8×cbrt-div
7×associate-/l*
6×add-exp-log add-log-exp
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube insert-posit16 log1p-expm1-u flip--
2×pow1/3 associate-/r/ associate--r+ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in flip3-+ fma-neg diff-log div-exp prod-diff flip-+ div-inv
Counts
4 → 153
Calls
4 calls:
Slowest
34.0ms
(/ (cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3)))) (cbrt (- d2 (+ d3 3))))
17.0ms
(cbrt (+ d2 (+ d3 3)))
7.0ms
(- (* d2 d2) (* (+ d3 3) (+ d3 3)))
6.0ms
(cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(/ (cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3)))) (cbrt (- d2 (+ d3 3))))
180.0ms
(cbrt (- (* d2 d2) (* (+ d3 3) (+ d3 3))))
139.0ms
(cbrt (+ d2 (+ d3 3)))
41.0ms
(- (* d2 d2) (* (+ d3 3) (+ d3 3)))

simplify43.1s

Counts
244 → 165
Calls
244 calls:
Slowest
759.0ms
(/ (cbrt (sqrt (- (* d2 d2) (* (+ d3 3) (+ d3 3))))) (cbrt (sqrt (- d2 (+ d3 3)))))
647.0ms
(fma (- (+ d3 3)) (+ d3 3) (* (+ d3 3) (+ d3 3)))
433.0ms
(- (+ (pow -9 1/3) (* 2/9 (* d3 (pow -9 1/3)))) (* 1/3 (* (pow d2 2) (pow -1/81 1/3))))
425.0ms
(expm1 (cbrt (+ d2 (+ d3 3))))
392.0ms
(- (pow (/ -1 d2) -2/3) (* 3 (pow (/ 1 (pow d2 4)) 1/3)))

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
926.0ms9485×body80valid
72.0ms232×body640valid
40.0ms168×body320valid
29.0ms80×body1280valid
15.0ms96×body160valid