Details

Time bar (total: 20.3s)

sample36.0ms

Algorithm
intervals
Results
18.0ms510×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (42.0ms)

IterNodesCost
01113
12113
25113
315013
434712
566612
694412
7115012
8144812
9172612
10178912
done178912

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (* y (- t (* z z))) (* x x))
5.9b
(* y (- t (* z z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log associate-*r* add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma 4.0 (* y (- t (* z z))) (* x x))
8.0ms
(* y (- t (* z z)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(fma 4.0 (* y (- t (* z z))) (* x x))
51.0ms
(* y (- t (* z z)))

simplify2.3s

Counts
49 → 49
Iterations

Useful iterations: done (2.3s)

IterNodesCost
090619
1195612
2751525
33687517
done5001511

prune116.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* y (- t (* z z))))
5.9b
(* y (- t (* z z)))
5.9b
(* y (- t (* z z)))
5.9b
(* y (- t (* z z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×prod-diff
16×add-cube-cbrt *-un-lft-identity
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
8×associate-*r/
6×sub-neg
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 112
Calls
4 calls:
3.0ms
(cbrt (* y (- t (* z z))))
8.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))
9.0ms
(* y (- t (* z z)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (* y (- t (* z z))))
49.0ms
(* y (- t (* z z)))
50.0ms
(* y (- t (* z z)))
51.0ms
(* y (- t (* z z)))

simplify2.1s

Counts
124 → 124
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01111436
12511407
28701226
338961196
done50001178

prune359.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.2b

localize17.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* y (- t (* z z))))
5.9b
(* y (- t (* z z)))
5.9b
(* y (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×prod-diff
10×distribute-rgt-in distribute-lft-in
8×pow1 add-exp-log associate-*r* add-cbrt-cube
6×associate-*r/ associate-*l*
5×cbrt-prod
4×expm1-log1p-u sub-neg cbrt-div flip3-- flip-- log1p-expm1-u add-log-exp
3×difference-of-squares
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (* y (- t (* z z))))
11.0ms
(* y (- t (* z z)))
8.0ms
(* y (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt (* y (- t (* z z))))
50.0ms
(* y (- t (* z z)))
52.0ms
(* y (- t (* z z)))
270.0ms
(cbrt (- t (* z z)))

simplify2.6s

Counts
107 → 107
Iterations

Useful iterations: 3 (509.0ms)

IterNodesCost
01531263
13401231
210721082
348331050
done50001050

prune403.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

5.9b
(* y (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×cbrt-prod
11×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u add-log-exp difference-of-squares
3×pow1/3 associate-*l*
2×sub-neg associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 81
Calls
4 calls:
8.0ms
(* y (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series890.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* y (- t (* z z)))
275.0ms
(cbrt (- t (* z z)))
287.0ms
(cbrt (- t (* z z)))
271.0ms
(cbrt (- t (* z z)))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: 3 (440.0ms)

IterNodesCost
01261125
12751088
2912976
34171938
done5000938

prune392.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.2b

regimes304.0ms

Accuracy

86.1% (0.4b remaining)

Error of 3.3b against oracle of 2.9b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
12334
done2334

end0.0ms

sample1.1s

Algorithm
intervals
Results
672.0ms15817×body80valid