Details

Time bar (total: 3.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms386×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
12.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify45.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0298214
11486191
25003191

prune47.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh101
Picked011
Done000
Total31435

Merged error: 0b

Counts
35 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))
0.0b
(* d1 (- d4 d1))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
8×add-sqr-sqrt
6×distribute-rgt-in sub-neg *-un-lft-identity distribute-lft-in
5×flip3-- associate-*r* flip--
4×pow1 add-exp-log add-cube-cbrt associate-+l+ associate-+r+ frac-add add-cbrt-cube add-log-exp
3×associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 50
Calls
2 calls:
7.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))
7.0ms
(* d1 (- d4 d1))

series19.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))
5.0ms
(* d1 (- d4 d1))

simplify59.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0362334
11736307
25001307

prune61.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh112
Picked011
Done011
Total56460

Merged error: 0b

Counts
60 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- d4 d1))
0.0b
(+ (* d1 (- d2 d3)) (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
0.1b
(* d1 (sqrt (- d4 d1)))
0.2b
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*r/
40×sqrt-div
28×flip3-- flip--
21×add-sqr-sqrt
16×*-un-lft-identity associate-*r* frac-add sqrt-prod
12×pow1 frac-times
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt
6×associate-*l/ add-log-exp
4×associate-+l+ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 105
Calls
4 calls:
3.0ms
(sqrt (- d4 d1))
9.0ms
(+ (* d1 (- d2 d3)) (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
7.0ms
(* d1 (sqrt (- d4 d1)))
14.0ms
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- d4 d1))
14.0ms
(+ (* d1 (- d2 d3)) (* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1))))
10.0ms
(* d1 (sqrt (- d4 d1)))
5.0ms
(* (* d1 (sqrt (- d4 d1))) (sqrt (- d4 d1)))

simplify90.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06321207
129091109
250021084

prune111.0ms

Filtered
76 candidates to 117 candidates (-53.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done022
Total1174121

Merged error: 0b

Counts
121 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (+ d2 d3) (- (* d4 d4) (* d1 d1)))
6.5b
(+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))
9.3b
(* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1)))))
27.8b
(/ (* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))) (* (+ d2 d3) (+ d4 d1)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
232×associate-*r/
200×frac-times
192×frac-add
156×flip3-+ flip-+
147×flip3-- flip--
100×associate-*l/
66×associate-/l/
20×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cube-cbrt associate-/r/
7×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv sub-neg associate-+r+ div-exp
2×associate-+l+ pow-prod-down *-commutative unswap-sqr
1×+-commutative frac-2neg times-frac clear-num associate-/r* sum-log div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
4 → 294
Calls
4 calls:
9.0ms
(* (+ d2 d3) (- (* d4 d4) (* d1 d1)))
13.0ms
(+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))
19.0ms
(* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1)))))
29.0ms
(/ (* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))) (* (+ d2 d3) (+ d4 d1)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ d2 d3) (- (* d4 d4) (* d1 d1)))
68.0ms
(+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))
80.0ms
(* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1)))))
153.0ms
(/ (* d1 (+ (* (- (* d2 d2) (* d3 d3)) (+ d4 d1)) (* (+ d2 d3) (- (* d4 d4) (* d1 d1))))) (* (+ d2 d3) (+ d4 d1)))

simplify140.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
027698513
150028326

prune1.0s

Filtered
280 candidates to 306 candidates (-9.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3060306
Fresh000
Picked011
Done033
Total3064310

Merged error: 0b

Counts
310 → 4

regimes239.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.0s

Algorithm
intervals
Results
513.0ms11908×body80valid

Profiling

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