Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0112
1142
2142

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 d3))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
9.0ms
(* d1 (+ d2 d3))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* d1 (+ d2 d3))

simplify51.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
012686
153376
2214676
3500276

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
3.0ms
(+ (* d1 d2) (* d1 d3))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (* d1 d2) (* d1 d3))

simplify137.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
09873
136762
2132460
3394360
4500160

prune25.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 d2) (* d1 d3))
0.2b
(* (sqrt (+ (* d1 d2) (* d1 d3))) (sqrt (+ (* d1 d2) (* d1 d3))))
3.7b
(sqrt (+ (* d1 d2) (* d1 d3)))
3.7b
(sqrt (+ (* d1 d2) (* d1 d3)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ swap-sqr flip-+
7×associate-*r* associate-*l* distribute-lft-out
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
2.0ms
(+ (* d1 d2) (* d1 d3))
20.0ms
(* (sqrt (+ (* d1 d2) (* d1 d3))) (sqrt (+ (* d1 d2) (* d1 d3))))
6.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))
3.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* d1 d2) (* d1 d3))
32.0ms
(* (sqrt (+ (* d1 d2) (* d1 d3))) (sqrt (+ (* d1 d2) (* d1 d3))))
54.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))
52.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))

simplify48.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0250775
11085692
25002664

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) (pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3))
0.4b
(pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3)
3.7b
(sqrt (+ (* d1 d2) (* d1 d3)))
3.7b
(sqrt (+ (* d1 d2) (* d1 d3)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
105×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*r*
24×unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log associate-*l*
9×flip3-+ flip-+
8×cube-div
7×add-cbrt-cube distribute-lft-out
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 157
Calls
4 calls:
39.0ms
(* (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) (pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3))
6.0ms
(pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3)
3.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))
3.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) (pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3))
138.0ms
(pow (sqrt (sqrt (+ (* d1 d2) (* d1 d3)))) 3)
52.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))
56.0ms
(sqrt (+ (* d1 d2) (* d1 d3)))

simplify86.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
04872134
121371500
250021336

prune313.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes87.0ms

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
072
172

end0.0ms

sample419.0ms

Algorithm
intervals
Results
214.0ms10142×body80valid