Details

Time bar (total: 3.3s)

sample26.0ms

Algorithm
intervals
Results
17.0ms292×body80valid
1.0ms2×body1280valid
0.0ms3×body320valid
0.0ms1×body640valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(* d1 (+ (+ 10.0 d2) 20.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
15.0ms
(+ (+ 10.0 d2) 20.0)
44.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series50.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ 10.0 d2) 20.0)
32.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(+ (+ 10.0 d2) 20.0)
0.1b
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.2b
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt flip3-+ flip-+
6×sum-log
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
15.0ms
(+ (+ 10.0 d2) 20.0)
15.0ms
(+ (+ 10.0 d2) 20.0)
41.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
78.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (+ 10.0 d2) 20.0)
16.0ms
(+ (+ 10.0 d2) 20.0)
58.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
32.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0330639
11487549
25002535

prune172.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0)))))
0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.3b
(* (* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0))))) (sqrt (cbrt (+ (+ 10.0 d2) 20.0))))

rewrite428.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
18×pow1 add-exp-log add-cbrt-cube
15×cbrt-prod
14×sqrt-div
12×associate-*r*
10×add-sqr-sqrt add-cube-cbrt cbrt-div associate-*r/ associate-*l/
9×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+ distribute-lft-out
8×sqrt-prod
4×frac-times associate-*l* add-log-exp
2×pow1/3 *-commutative
Counts
4 → 87
Calls
4 calls:
38.0ms
(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0)))))
9.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
10.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
366.0ms
(* (* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0))))) (sqrt (cbrt (+ (+ 10.0 d2) 20.0))))

series386.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0)))))
85.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
85.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
147.0ms
(* (* d1 (* (sqrt (+ (+ 10.0 d2) 20.0)) (fabs (cbrt (+ (+ 10.0 d2) 20.0))))) (sqrt (cbrt (+ (+ 10.0 d2) 20.0))))

simplify72.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06231388
124931248
250011235

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
5.2b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
9.4b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
9.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
18.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
34.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
38.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series202.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
15.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
50.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
115.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0516966
12579841
25002837

prune196.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample708.0ms

Algorithm
intervals
Results
530.0ms9065×body80valid
13.0ms52×body1280valid
8.0ms39×body640valid
3.0ms21×body320valid
1.0ms10×body160valid